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Finding the Fourth Proportional to 8,468.71, 11,685.90 and 4,691.78

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Solution

The fourth proportional to 8,468.71, 11,685.90 and 4,691.78 is: 6,474.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,468.71 : 11,685.90 = 4,691.78 : x
  2. Step 2: Convert to fraction form
    8,468.71/11,685.90 = 4,691.78/x
  3. Step 3: Cross multiply
    8,468.71x = 11,685.90 × 4,691.78
  4. Step 4: Simplify right side
    8,468.71x = 54,827,613.47
  5. Step 5: Solve for x
    x = 54,827,613.47/8,468.71
  6. Step 6: Final answer
    x = 6,474.14

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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.