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Finding the Fourth Proportional to 2,507.57, 3,761.97 and 752.57

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Solution

The fourth proportional to 2,507.57, 3,761.97 and 752.57 is: 1,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,507.57 : 3,761.97 = 752.57 : x
  2. Step 2: Convert to fraction form
    2,507.57/3,761.97 = 752.57/x
  3. Step 3: Cross multiply
    2,507.57x = 3,761.97 × 752.57
  4. Step 4: Simplify right side
    2,507.57x = 2,831,161.52
  5. Step 5: Solve for x
    x = 2,831,161.52/2,507.57
  6. Step 6: Final answer
    x = 1,129.04

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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.