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Finding the Fourth Proportional to 31,755.78, 47,640.96 and 10,979.28

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Solution

The fourth proportional to 31,755.78, 47,640.96 and 10,979.28 is: 16,471.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,755.78 : 47,640.96 = 10,979.28 : x
  2. Step 2: Convert to fraction form
    31,755.78/47,640.96 = 10,979.28/x
  3. Step 3: Cross multiply
    31,755.78x = 47,640.96 × 10,979.28
  4. Step 4: Simplify right side
    31,755.78x = 523,063,439.31
  5. Step 5: Solve for x
    x = 523,063,439.31/31,755.78
  6. Step 6: Final answer
    x = 16,471.44

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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.