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why can you use cross - products to solve the proportion $\frac{5}{18}=…

Question

why can you use cross - products to solve the proportion $\frac{5}{18}=\frac{x}{100}$? because 18 times 100 is equal to 5 times x, which means that x is equal to 36; because 18 times 100 is equal to 5 times x, which means that x is equal to 360; because 18 times x is equal to 5 times 100, which means that x is equal to 36; because 18 times x is equal to 5 times 100, which means that x is equal to 360

Explanation:

Step1: Cross - multiply proportion

For the proportion $\frac{5}{18}=\frac{100}{x}$, cross - multiplying gives $5\times x = 18\times100$.

Step2: Solve for x

$5x=1800$, then $x=\frac{1800}{5}=360$.

Answer:

The correct option is: because 18 times 100 is equal to 5 times x, which means that x is equal to 360.