Take note Key Concept: Cross Products Property

Problem 4 Solving a Proportion

Algebra What is the solution of each proportion?

1. 6 x = 5 4   6 ( 4 ) = 5 x Cross Products Property 24 = 5 x Simplify . x = 24 5 Solve for the variable . table with 4 rows and 3 columns , row1 column 1 , 6 over x , column 2 equals , 5 fourths , column 3 , row2 column 1 , 6 , open 4 close , column 2 equals 5 x , column 3 cap crosscap productscap property , row3 column 1 , 24 , column 2 equals 5 x , column 3 cap simplify , . , row4 column 1 , x , column 2 equals , 24 over 5 , column 3 cap solveforthevariable . . , end table
   The solution is 24 8 24 over 8  or 4.8.

2. y + 4 9 = y 3 3 ( y + 4 ) = 9 y 3 y + 12 = 9 y 12 = 6 y y = 2 table with 5 rows and 2 columns , row1 column 1 , fraction y plus 4 , over 9 end fraction , column 2 equals , y over 3 , row2 column 1 , 3 . open , y plus 4 , close , column 2 equals 9 y , row3 column 1 , 3 y plus 12 , column 2 equals 9 y , row4 column 1 , 12 , column 2 equals 6 y , row5 column 1 , y , column 2 equals 2 , end table
   The solution is 2.

✓ Got It?

4. What is the solution of each proportion?
   1. 9 2 = a 14 9 halves , equals , eh over 14
   2. 15 m + 1 = 3 m fraction 15 , over m plus 1 end fraction . equals , 3 over m