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Finding the Fourth Proportional to 11,387.39, 15,714.61 and 6,351.47

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Solution

The fourth proportional to 11,387.39, 15,714.61 and 6,351.47 is: 8,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,387.39 : 15,714.61 = 6,351.47 : x
  2. Step 2: Convert to fraction form
    11,387.39/15,714.61 = 6,351.47/x
  3. Step 3: Cross multiply
    11,387.39x = 15,714.61 × 6,351.47
  4. Step 4: Simplify right side
    11,387.39x = 99,810,897.38
  5. Step 5: Solve for x
    x = 99,810,897.38/11,387.39
  6. Step 6: Final answer
    x = 8,765.04

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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.