Smart Math guide · Algebra Smarts

Solve Proportions with Structure

A proportion states that two ratios are equal; scaling or cross-products can solve the missing value.

All levelsWorked example includedSelf-check included
The method

How to use it

  1. Look for an obvious scale factor first.
  2. If needed, cross-multiply.
  3. Check that units and ratio order match.
Worked example

See it in action

3/5 = x/20; denominator ×4, so numerator ×4 → x=12.

Check your thinking

How to verify it

3/5=0.6 and 12/20=0.6.