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Finding the Fourth Proportional to 8,711.64, 13,067.46 and 2,869.92

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Solution

The fourth proportional to 8,711.64, 13,067.46 and 2,869.92 is: 4,304.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.64 : 13,067.46 = 2,869.92 : x
  2. Step 2: Convert to fraction form
    8,711.64/13,067.46 = 2,869.92/x
  3. Step 3: Cross multiply
    8,711.64x = 13,067.46 × 2,869.92
  4. Step 4: Simplify right side
    8,711.64x = 37,502,564.80
  5. Step 5: Solve for x
    x = 37,502,564.80/8,711.64
  6. Step 6: Final answer
    x = 4,304.88

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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.