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Finding the Fourth Proportional to 42,793.92, 64,177.92 and 11,625.12

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Solution

The fourth proportional to 42,793.92, 64,177.92 and 11,625.12 is: 17,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,793.92 : 64,177.92 = 11,625.12 : x
  2. Step 2: Convert to fraction form
    42,793.92/64,177.92 = 11,625.12/x
  3. Step 3: Cross multiply
    42,793.92x = 64,177.92 × 11,625.12
  4. Step 4: Simplify right side
    42,793.92x = 746,076,021.35
  5. Step 5: Solve for x
    x = 746,076,021.35/42,793.92
  6. Step 6: Final answer
    x = 17,434.16

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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.