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Finding the Fourth Proportional to 8,251.71, 12,375.06 and 2,986.12

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Solution

The fourth proportional to 8,251.71, 12,375.06 and 2,986.12 is: 4,478.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.71 : 12,375.06 = 2,986.12 : x
  2. Step 2: Convert to fraction form
    8,251.71/12,375.06 = 2,986.12/x
  3. Step 3: Cross multiply
    8,251.71x = 12,375.06 × 2,986.12
  4. Step 4: Simplify right side
    8,251.71x = 36,953,414.17
  5. Step 5: Solve for x
    x = 36,953,414.17/8,251.71
  6. Step 6: Final answer
    x = 4,478.27

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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.