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Finding the Fourth Proportional to 5,397.71, 8,078.08 and 4,929.71

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Solution

The fourth proportional to 5,397.71, 8,078.08 and 4,929.71 is: 7,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,397.71 : 8,078.08 = 4,929.71 : x
  2. Step 2: Convert to fraction form
    5,397.71/8,078.08 = 4,929.71/x
  3. Step 3: Cross multiply
    5,397.71x = 8,078.08 × 4,929.71
  4. Step 4: Simplify right side
    5,397.71x = 39,822,593.72
  5. Step 5: Solve for x
    x = 39,822,593.72/5,397.71
  6. Step 6: Final answer
    x = 7,377.68

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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.