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Finding the Fourth Proportional to 11,652.78, 17,456.28 and 7,691.97

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Solution

The fourth proportional to 11,652.78, 17,456.28 and 7,691.97 is: 11,522.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,652.78 : 17,456.28 = 7,691.97 : x
  2. Step 2: Convert to fraction form
    11,652.78/17,456.28 = 7,691.97/x
  3. Step 3: Cross multiply
    11,652.78x = 17,456.28 × 7,691.97
  4. Step 4: Simplify right side
    11,652.78x = 134,273,182.07
  5. Step 5: Solve for x
    x = 134,273,182.07/11,652.78
  6. Step 6: Final answer
    x = 11,522.85

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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.