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Finding the Fourth Proportional to 6,686.87, 10,031.92 and 2,006.87

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Solution

The fourth proportional to 6,686.87, 10,031.92 and 2,006.87 is: 3,010.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.87 : 10,031.92 = 2,006.87 : x
  2. Step 2: Convert to fraction form
    6,686.87/10,031.92 = 2,006.87/x
  3. Step 3: Cross multiply
    6,686.87x = 10,031.92 × 2,006.87
  4. Step 4: Simplify right side
    6,686.87x = 20,132,704.11
  5. Step 5: Solve for x
    x = 20,132,704.11/6,686.87
  6. Step 6: Final answer
    x = 3,010.78

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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.