āž— Proportion Solver

A : B = C : D

Cross-multiply to find the missing value

šŸ”¢ Cross-Multiplication Visual

A Ɨ D = B Ɨ C
Formula

D = (B Ɨ C) / A

Since A/B = C/D, we multiply both sides by BƗD:
AƗD = BƗC
Therefore: D = (B Ɨ C) / A

šŸ“– How It Works

1
Set up the proportion - If A is to B as C is to D, write A:B = C:D
2
Cross-multiply - Multiply A by D and B by C
3
Solve for the unknown - Divide the product by the remaining known value

šŸ’” Real-World Examples

Cooking Recipe

If 2 cups of flour make 24 cookies, how much flour for 60 cookies?
2:24 = X:60 → X = (24 Ɨ 60) / 2 = 5 cups

Map Scale

If 1 inch on a map equals 50 miles, how many miles is 3.5 inches?
1:50 = 3.5:X → X = (50 Ɨ 3.5) / 1 = 175 miles