🧮PantoCalc

🔀 Proportion Calculator

Solve proportions using cross multiplication

Enter 3 values, leave one empty to solve: a/b = c/d

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How Proportions Are Solved

Formula

a/b = c/d → a × d = b × c

  1. 1Enter three of the four values in the proportion a/b = c/d.
  2. 2Leave the unknown value empty.
  3. 3Cross multiplication is applied: a × d = b × c.
  4. 4The equation is solved algebraically for the missing value.
  5. 5The result is verified by checking that both fractions are equal.

About Proportion Calculator

Solve proportions a/b = c/d by finding the missing value. Uses cross multiplication with step-by-step explanation and verification.

Frequently Asked Questions

What is a proportion?

A proportion states that two ratios (fractions) are equal. For example, 1/2 = 3/6 is a proportion.

Why does cross multiplication work?

Cross multiplication works because if a/b = c/d, multiplying both sides by b × d gives a × d = b × c. This eliminates the fractions and creates a simple equation.

Can I solve for any of the four values?

Yes. Leave any one of the four positions empty and the calculator will solve for it.