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Finding the Fourth Proportional to 2,489.71, 3,735.24 and 2,217.70

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Solution

The fourth proportional to 2,489.71, 3,735.24 and 2,217.70 is: 3,327.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.71 : 3,735.24 = 2,217.70 : x
  2. Step 2: Convert to fraction form
    2,489.71/3,735.24 = 2,217.70/x
  3. Step 3: Cross multiply
    2,489.71x = 3,735.24 × 2,217.70
  4. Step 4: Simplify right side
    2,489.71x = 8,283,641.75
  5. Step 5: Solve for x
    x = 8,283,641.75/2,489.71
  6. Step 6: Final answer
    x = 3,327.15

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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.