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Finding the Fourth Proportional to 2,375.11, 3,562.46 and 731.50

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Solution

The fourth proportional to 2,375.11, 3,562.46 and 731.50 is: 1,097.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,375.11 : 3,562.46 = 731.50 : x
  2. Step 2: Convert to fraction form
    2,375.11/3,562.46 = 731.50/x
  3. Step 3: Cross multiply
    2,375.11x = 3,562.46 × 731.50
  4. Step 4: Simplify right side
    2,375.11x = 2,605,939.49
  5. Step 5: Solve for x
    x = 2,605,939.49/2,375.11
  6. Step 6: Final answer
    x = 1,097.19

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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.