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Finding the Fourth Proportional to 8,489.60, 12,734.09 and 2,249.66

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Solution

The fourth proportional to 8,489.60, 12,734.09 and 2,249.66 is: 3,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.60 : 12,734.09 = 2,249.66 : x
  2. Step 2: Convert to fraction form
    8,489.60/12,734.09 = 2,249.66/x
  3. Step 3: Cross multiply
    8,489.60x = 12,734.09 × 2,249.66
  4. Step 4: Simplify right side
    8,489.60x = 28,647,372.91
  5. Step 5: Solve for x
    x = 28,647,372.91/8,489.60
  6. Step 6: Final answer
    x = 3,374.41

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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.