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Finding the Fourth Proportional to 10,872.43, 15,004.31 and 6,156.61

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Solution

The fourth proportional to 10,872.43, 15,004.31 and 6,156.61 is: 8,496.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,872.43 : 15,004.31 = 6,156.61 : x
  2. Step 2: Convert to fraction form
    10,872.43/15,004.31 = 6,156.61/x
  3. Step 3: Cross multiply
    10,872.43x = 15,004.31 × 6,156.61
  4. Step 4: Simplify right side
    10,872.43x = 92,375,654.21
  5. Step 5: Solve for x
    x = 92,375,654.21/10,872.43
  6. Step 6: Final answer
    x = 8,496.32

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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.