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Finding the Fourth Proportional to 2,489.76, 3,732.60 and 1,172.87

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Solution

The fourth proportional to 2,489.76, 3,732.60 and 1,172.87 is: 1,758.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.76 : 3,732.60 = 1,172.87 : x
  2. Step 2: Convert to fraction form
    2,489.76/3,732.60 = 1,172.87/x
  3. Step 3: Cross multiply
    2,489.76x = 3,732.60 × 1,172.87
  4. Step 4: Simplify right side
    2,489.76x = 4,377,854.56
  5. Step 5: Solve for x
    x = 4,377,854.56/2,489.76
  6. Step 6: Final answer
    x = 1,758.34

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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.