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Finding the Fourth Proportional to 10,613.46, 15,920.05 and 6,454.61

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Solution

The fourth proportional to 10,613.46, 15,920.05 and 6,454.61 is: 9,681.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,613.46 : 15,920.05 = 6,454.61 : x
  2. Step 2: Convert to fraction form
    10,613.46/15,920.05 = 6,454.61/x
  3. Step 3: Cross multiply
    10,613.46x = 15,920.05 × 6,454.61
  4. Step 4: Simplify right side
    10,613.46x = 102,757,713.93
  5. Step 5: Solve for x
    x = 102,757,713.93/10,613.46
  6. Step 6: Final answer
    x = 9,681.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.