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Finding the Fourth Proportional to 3,781.92, 5,213.04 and 3,034.56

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Solution

The fourth proportional to 3,781.92, 5,213.04 and 3,034.56 is: 4,182.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.92 : 5,213.04 = 3,034.56 : x
  2. Step 2: Convert to fraction form
    3,781.92/5,213.04 = 3,034.56/x
  3. Step 3: Cross multiply
    3,781.92x = 5,213.04 × 3,034.56
  4. Step 4: Simplify right side
    3,781.92x = 15,819,282.66
  5. Step 5: Solve for x
    x = 15,819,282.66/3,781.92
  6. Step 6: Final answer
    x = 4,182.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.