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Finding the Fourth Proportional to 4,489.87, 6,734.82 and 2,179.75

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Solution

The fourth proportional to 4,489.87, 6,734.82 and 2,179.75 is: 3,269.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489.87 : 6,734.82 = 2,179.75 : x
  2. Step 2: Convert to fraction form
    4,489.87/6,734.82 = 2,179.75/x
  3. Step 3: Cross multiply
    4,489.87x = 6,734.82 × 2,179.75
  4. Step 4: Simplify right side
    4,489.87x = 14,680,223.90
  5. Step 5: Solve for x
    x = 14,680,223.90/4,489.87
  6. Step 6: Final answer
    x = 3,269.63

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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.