Published On:Thursday, 8 December 2011
Posted by Muhammad Atif Saeed
Ratios and Proportions
Ratios and Proportions
Ratios and proportions are not only used in arithmetic, but are also commonly used in algebra (and geometry).Proportions
Proportions are written as two ratios (fractions) equal to each other.Example 1
Solve this problem for x. p is to q as x is to y
First the proportion may be rewritten.
Example 2
Solve this proportion for t. s is to t as r is to q
Rewrite.
Divide each side of the equation by r.
Solving proportions for value
Follow the procedures given in Examples 10 and 11 to solve for the unknown.Example 3
Solve for x.
Example 4
Solve for x.
5(2 x – 4) = 2(3 x + 6)
Use the distributive property.10 x – 20 = 6 x + 12
Subtract 6 x from each side of the equation. 
Divide each side of the equation by 4.
