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Math

Proportion Calculator

Solve any proportion a/b = c/d — find the missing term instantly

Solve a / b = c / d

=

Click any field label (A / B / C / D) to set it as the unknown to solve for.

Quick examples

Result

Solving for d123 / 4 = 9 / 12
D =12
Full proportion3 / 4 = 9 / 12
Each ratio as decimal0.75
Cross-multiply check (a × d = b × c)36 = 36

How cross-multiplication works

If a / b = c / d, then a × d = b × c. Rearranging:

  • a = (b × c) / d
  • b = (a × d) / c
  • c = (a × d) / b
  • d = (b × c) / a
About

A proportion calculator solves the equation a/b = c/d when three of the four values are known. Whether you're scaling a recipe, converting units, solving a geometry problem, or working through a math class assignment, this free tool finds the missing term instantly using cross-multiplication and shows the full verification check.

FAQ
What is a proportion and how do you solve it?+

A proportion is an equation stating two ratios are equal: a/b = c/d. To solve for a missing term, use cross-multiplication: multiply across the equals sign (a × d = b × c), then divide both sides to isolate the unknown. For example, to find d in 3/4 = 9/d: d = (4 × 9) / 3 = 12.

Which value can I solve for?+

You can solve for any one of the four values — A, B, C, or D. Click the label of the value you want to find, enter the other three, and the answer appears instantly.

Can I use decimal numbers?+

Yes. All four fields accept any positive or negative decimal number. The calculator handles values like 2.5, 0.333, or 1000 without rounding errors.

What does the cross-multiplication check show?+

It verifies the result is correct by confirming that a × d equals b × c. If the two sides match, the proportion is exact. This is the standard algebraic method for verifying proportion solutions.

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