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Finding the Fourth Proportional to 8,489.91, 12,734.64 and 2,249.94

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Solution

The fourth proportional to 8,489.91, 12,734.64 and 2,249.94 is: 3,374.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.91 : 12,734.64 = 2,249.94 : x
  2. Step 2: Convert to fraction form
    8,489.91/12,734.64 = 2,249.94/x
  3. Step 3: Cross multiply
    8,489.91x = 12,734.64 × 2,249.94
  4. Step 4: Simplify right side
    8,489.91x = 28,652,175.92
  5. Step 5: Solve for x
    x = 28,652,175.92/8,489.91
  6. Step 6: Final answer
    x = 3,374.85

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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.