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Finding the Fourth Proportional to 8,167.85, 12,251.49 and 2,163.95

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Solution

The fourth proportional to 8,167.85, 12,251.49 and 2,163.95 is: 3,245.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.85 : 12,251.49 = 2,163.95 : x
  2. Step 2: Convert to fraction form
    8,167.85/12,251.49 = 2,163.95/x
  3. Step 3: Cross multiply
    8,167.85x = 12,251.49 × 2,163.95
  4. Step 4: Simplify right side
    8,167.85x = 26,511,611.79
  5. Step 5: Solve for x
    x = 26,511,611.79/8,167.85
  6. Step 6: Final answer
    x = 3,245.85

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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.