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Finding the Fourth Proportional to 2,760.97, 4,138.46 and 1,375.34

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Solution

The fourth proportional to 2,760.97, 4,138.46 and 1,375.34 is: 2,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.97 : 4,138.46 = 1,375.34 : x
  2. Step 2: Convert to fraction form
    2,760.97/4,138.46 = 1,375.34/x
  3. Step 3: Cross multiply
    2,760.97x = 4,138.46 × 1,375.34
  4. Step 4: Simplify right side
    2,760.97x = 5,691,789.58
  5. Step 5: Solve for x
    x = 5,691,789.58/2,760.97
  6. Step 6: Final answer
    x = 2,061.52

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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.