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Finding the Fourth Proportional to 2,502.15, 3,751.20 and 1,042.38

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Solution

The fourth proportional to 2,502.15, 3,751.20 and 1,042.38 is: 1,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,502.15 : 3,751.20 = 1,042.38 : x
  2. Step 2: Convert to fraction form
    2,502.15/3,751.20 = 1,042.38/x
  3. Step 3: Cross multiply
    2,502.15x = 3,751.20 × 1,042.38
  4. Step 4: Simplify right side
    2,502.15x = 3,910,175.86
  5. Step 5: Solve for x
    x = 3,910,175.86/2,502.15
  6. Step 6: Final answer
    x = 1,562.73

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.