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Finding the Fourth Proportional to 8,711.76, 13,067.76 and 2,138.10

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Solution

The fourth proportional to 8,711.76, 13,067.76 and 2,138.10 is: 3,207.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.76 : 13,067.76 = 2,138.10 : x
  2. Step 2: Convert to fraction form
    8,711.76/13,067.76 = 2,138.10/x
  3. Step 3: Cross multiply
    8,711.76x = 13,067.76 × 2,138.10
  4. Step 4: Simplify right side
    8,711.76x = 27,940,177.66
  5. Step 5: Solve for x
    x = 27,940,177.66/8,711.76
  6. Step 6: Final answer
    x = 3,207.18

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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.