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Ratio Calculator

Solve a proportion of the form A:B = C:D by leaving the unknown value blank.

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Quick answer

Ratio is a free, private online tool that lets you solve a proportion A:B = C:D for the missing value. It runs entirely in your browser, so nothing you enter is uploaded to a server.

How to use the Ratio

  1. Fill in each input field with your own numbers.
  2. Results calculate automatically and update as you change any value.
  3. Read the result cards below the inputs for the full breakdown.
  4. Adjust any field to explore different scenarios instantly.

Privacy: this tool runs entirely in your browser. Your input is never sent to, received by, or stored on any server — there are no uploads and no tracking of what you enter.

About Ratio

What is a proportion

A proportion states two ratios are equal, such as 2:3 = 10:15. If you know three of the four values, you can find the fourth.

How it works

Enter the three known values and leave C or D blank; the tool cross-multiplies to find the missing one.

Where it helps

Scaling recipes, mixing ratios, map scales, and resizing while keeping proportions.

Frequently asked questions

How do I solve a ratio?
Cross-multiply: if A:B = C:D then A x D = B x C, so you can solve for any unknown.
Which field do I leave blank?
Leave exactly one of C or D blank for the tool to solve it.
Can I scale recipes with this?
Yes — set the original ratio and one new quantity to find the other.

Understanding Ratio in depth

What a ratio and proportion are

A ratio compares two quantities, like 2:3, and a proportion states that two ratios are equal, like 2:3 = 10:15. This calculator solves a proportion for a missing value: if you know three of the four numbers in A:B = C:D, it finds the fourth. It is the maths behind scaling anything up or down while keeping it in correct proportion.

How cross-multiplication works

The tool solves proportions by cross-multiplication. If A:B = C:D, then A x D = B x C. Rearranging lets you find whichever value is unknown - for example, if D is missing, D = (B x C) / A. So for 2:3 = 10:?, the answer is (3 x 10) / 2 = 15. Enter the three known values and leave the unknown blank.

Where proportions show up

Proportional reasoning is everywhere: scaling recipes (a recipe for 4 served to 6), mixing ratios (paint, fuel-oil mixes, cleaning solutions), map scales and model-making, resizing images, currency and unit conversions, and adjusting quantities in chemistry or manufacturing. Anytime more of one means proportionally more of another, a proportion applies.

Direct proportion and its limits

This calculator handles direct proportion, where the two quantities rise and fall together. Not every relationship is proportional - some are inverse (more workers, less time) or non-linear - so apply it only where doubling one really should double the other. For genuinely proportional problems it is fast and reliable.

Everyday uses

Scale a recipe to a different number of servings, work out mixing quantities, resize while keeping proportions, convert between units, and solve school proportion problems. Leave one field blank and the tool fills it in, all in your browser.

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