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Finding the Fourth Proportional to 15,758.68, 21,747.92 and 9,044.28

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Solution

The fourth proportional to 15,758.68, 21,747.92 and 9,044.28 is: 12,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,758.68 : 21,747.92 = 9,044.28 : x
  2. Step 2: Convert to fraction form
    15,758.68/21,747.92 = 9,044.28/x
  3. Step 3: Cross multiply
    15,758.68x = 21,747.92 × 9,044.28
  4. Step 4: Simplify right side
    15,758.68x = 196,694,277.90
  5. Step 5: Solve for x
    x = 196,694,277.90/15,758.68
  6. Step 6: Final answer
    x = 12,481.65

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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.