Algebraic Proportions Review

An algebraic proportion is an equation that states that two ratios are equal. It can be expressed in the form \( \frac{a}{b} = \frac{c}{d} \), where a, b, c, and d are numbers or algebraic expressions.

To solve for a variable in a proportion, cross-multiply the terms. For example, in \( \frac{a}{b} = \frac{c}{d} \), you can solve for a variable by calculating \( a \cdot d = b \cdot c \) and then isolating the variable.

x = 10

d = -1

p = 13

g = 20

c = 26

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio. For example, in \( \frac{a}{b} = \frac{c}{d} \), it results in \( a \cdot d = b \cdot c \).

If two ratios are in proportion, it means that the two fractions represent the same value or relationship, indicating that the cross-products are equal.

The first step in solving a proportion is to set the two ratios equal to each other and identify the variable you need to solve for.