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Finding the Fourth Proportional to 17,687.20, 24,403.92 and 11,392

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Solution

The fourth proportional to 17,687.20, 24,403.92 and 11,392 is: 15,718.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.20 : 24,403.92 = 11,392 : x
  2. Step 2: Convert to fraction form
    17,687.20/24,403.92 = 11,392/x
  3. Step 3: Cross multiply
    17,687.20x = 24,403.92 × 11,392
  4. Step 4: Simplify right side
    17,687.20x = 278,009,456.64
  5. Step 5: Solve for x
    x = 278,009,456.64/17,687.20
  6. Step 6: Final answer
    x = 15,718.12

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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.