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Finding the Fourth Proportional to 9,169.43, 12,654.03 and 5,191.14

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Solution

The fourth proportional to 9,169.43, 12,654.03 and 5,191.14 is: 7,163.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,169.43 : 12,654.03 = 5,191.14 : x
  2. Step 2: Convert to fraction form
    9,169.43/12,654.03 = 5,191.14/x
  3. Step 3: Cross multiply
    9,169.43x = 12,654.03 × 5,191.14
  4. Step 4: Simplify right side
    9,169.43x = 65,688,841.29
  5. Step 5: Solve for x
    x = 65,688,841.29/9,169.43
  6. Step 6: Final answer
    x = 7,163.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.