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Finding the Fourth Proportional to 2,489.05, 3,732.49 and 757.27

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Solution

The fourth proportional to 2,489.05, 3,732.49 and 757.27 is: 1,135.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,489.05 : 3,732.49 = 757.27 : x
  2. Step 2: Convert to fraction form
    2,489.05/3,732.49 = 757.27/x
  3. Step 3: Cross multiply
    2,489.05x = 3,732.49 × 757.27
  4. Step 4: Simplify right side
    2,489.05x = 2,826,502.70
  5. Step 5: Solve for x
    x = 2,826,502.70/2,489.05
  6. Step 6: Final answer
    x = 1,135.57

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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.