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Finding the Fourth Proportional to 8,489.91, 12,742.16 and 3,299.43

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Solution

The fourth proportional to 8,489.91, 12,742.16 and 3,299.43 is: 4,951.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.91 : 12,742.16 = 3,299.43 : x
  2. Step 2: Convert to fraction form
    8,489.91/12,742.16 = 3,299.43/x
  3. Step 3: Cross multiply
    8,489.91x = 12,742.16 × 3,299.43
  4. Step 4: Simplify right side
    8,489.91x = 42,041,864.97
  5. Step 5: Solve for x
    x = 42,041,864.97/8,489.91
  6. Step 6: Final answer
    x = 4,951.98

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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.