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Finding the Fourth Proportional to 8,251.56, 12,378.54 and 2,986.97

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Solution

The fourth proportional to 8,251.56, 12,378.54 and 2,986.97 is: 4,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,251.56 : 12,378.54 = 2,986.97 : x
  2. Step 2: Convert to fraction form
    8,251.56/12,378.54 = 2,986.97/x
  3. Step 3: Cross multiply
    8,251.56x = 12,378.54 × 2,986.97
  4. Step 4: Simplify right side
    8,251.56x = 36,974,265.73
  5. Step 5: Solve for x
    x = 36,974,265.73/8,251.56
  6. Step 6: Final answer
    x = 4,480.88

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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.