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Finding the Fourth Proportional to 42,682.68, 64,024 and 11,517.92

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Solution

The fourth proportional to 42,682.68, 64,024 and 11,517.92 is: 17,276.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,682.68 : 64,024 = 11,517.92 : x
  2. Step 2: Convert to fraction form
    42,682.68/64,024 = 11,517.92/x
  3. Step 3: Cross multiply
    42,682.68x = 64,024 × 11,517.92
  4. Step 4: Simplify right side
    42,682.68x = 737,423,310.08
  5. Step 5: Solve for x
    x = 737,423,310.08/42,682.68
  6. Step 6: Final answer
    x = 17,276.87

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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.