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Finding the Fourth Proportional to 2,760.98, 4,138.47 and 1,375.34

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Solution

The fourth proportional to 2,760.98, 4,138.47 and 1,375.34 is: 2,061.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760.98 : 4,138.47 = 1,375.34 : x
  2. Step 2: Convert to fraction form
    2,760.98/4,138.47 = 1,375.34/x
  3. Step 3: Cross multiply
    2,760.98x = 4,138.47 × 1,375.34
  4. Step 4: Simplify right side
    2,760.98x = 5,691,813.68
  5. Step 5: Solve for x
    x = 5,691,813.68/2,760.98
  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.