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Finding the Fourth Proportional to 11,398.92, 17,068.52 and 9,165.88

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Solution

The fourth proportional to 11,398.92, 17,068.52 and 9,165.88 is: 13,724.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.92 : 17,068.52 = 9,165.88 : x
  2. Step 2: Convert to fraction form
    11,398.92/17,068.52 = 9,165.88/x
  3. Step 3: Cross multiply
    11,398.92x = 17,068.52 × 9,165.88
  4. Step 4: Simplify right side
    11,398.92x = 156,448,006.10
  5. Step 5: Solve for x
    x = 156,448,006.10/11,398.92
  6. Step 6: Final answer
    x = 13,724.81

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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.