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Finding the Fourth Proportional to 3,840.78, 5,761.20 and 1,375.02

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Solution

The fourth proportional to 3,840.78, 5,761.20 and 1,375.02 is: 2,062.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.78 : 5,761.20 = 1,375.02 : x
  2. Step 2: Convert to fraction form
    3,840.78/5,761.20 = 1,375.02/x
  3. Step 3: Cross multiply
    3,840.78x = 5,761.20 × 1,375.02
  4. Step 4: Simplify right side
    3,840.78x = 7,921,765.22
  5. Step 5: Solve for x
    x = 7,921,765.22/3,840.78
  6. Step 6: Final answer
    x = 2,062.54

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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.