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Finding the Fourth Proportional to 3,840.93, 5,761.92 and 1,376.43

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Solution

The fourth proportional to 3,840.93, 5,761.92 and 1,376.43 is: 2,064.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.93 : 5,761.92 = 1,376.43 : x
  2. Step 2: Convert to fraction form
    3,840.93/5,761.92 = 1,376.43/x
  3. Step 3: Cross multiply
    3,840.93x = 5,761.92 × 1,376.43
  4. Step 4: Simplify right side
    3,840.93x = 7,930,879.55
  5. Step 5: Solve for x
    x = 7,930,879.55/3,840.93
  6. Step 6: Final answer
    x = 2,064.83

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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.