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solve proportion for y

Check the final answer first, then review the worked steps.

Problem

solve proportion for y

Answer

12.6

Step-by-step solution

  1. Set up the cross-multiplication: To solve the proportion $\frac{y}{11} = \frac{8}{7}$, we use the cross-multiplication property, which states that for $\frac{a}{b} = \frac{c}{d}$, $a \cdot d = b \cdot c$. Applying this here, we get $y \cdot 7 = 11 \cdot 8$.
  1. Simplify the equation: Multiply the numbers on the right side: $7y = 88$.
  1. Isolate y: Divide both sides of the equation by $7$ to solve for $y$: $y = \frac{88}{7}$.
  1. Calculate the decimal value: Perform the division: $y \approx 12.5714...$
  1. Round to the nearest tenth: The digit in the hundredths place is $7$, which is $5$ or greater, so we round the tenths digit ($5$) up to $6$. Thus, $y \approx 12.6$.