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Finding the Fourth Proportional to 8,254.92, 12,384.38 and 4,747.17

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Solution

The fourth proportional to 8,254.92, 12,384.38 and 4,747.17 is: 7,121.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,254.92 : 12,384.38 = 4,747.17 : x
  2. Step 2: Convert to fraction form
    8,254.92/12,384.38 = 4,747.17/x
  3. Step 3: Cross multiply
    8,254.92x = 12,384.38 × 4,747.17
  4. Step 4: Simplify right side
    8,254.92x = 58,790,757.20
  5. Step 5: Solve for x
    x = 58,790,757.20/8,254.92
  6. Step 6: Final answer
    x = 7,121.91

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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.