Question

Solve for the variable in the following proportion.

Answer 1

The solution for the variable a is 12.5 ⇒ 3rd answer

Step-by-step explanation:

Proportional relationships are relationships between two variables

where their ratios are equivalent

• If x is proportion to y , then $\frac{x}{y}$ = k, wher k is a constant
• If x is proportion to y, then $\frac{x_{1}}{y_{1}}=\frac{x_{2}}{y_{2}}$

∵ 4 is to 5 as 10 is to a

∵ These are proportion

∴ $\frac{4}{5}=\frac{10}{a}$

- Use cross multiplication to find a

∵ 4 × a = 5 × 10

∴ 4 a = 50

- Divide both sides by 4

∴ $a=\frac{50}{4}$

∴ a = 12.5

The solution for the variable a is 12.5

Learn more:

You can learn more about proportion in brainly.com/question/10708697

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