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Finding the Fourth Proportional to 3,840.75, 5,761.26 and 1,754.53

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Solution

The fourth proportional to 3,840.75, 5,761.26 and 1,754.53 is: 2,631.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,840.75 : 5,761.26 = 1,754.53 : x
  2. Step 2: Convert to fraction form
    3,840.75/5,761.26 = 1,754.53/x
  3. Step 3: Cross multiply
    3,840.75x = 5,761.26 × 1,754.53
  4. Step 4: Simplify right side
    3,840.75x = 10,108,289.10
  5. Step 5: Solve for x
    x = 10,108,289.10/3,840.75
  6. Step 6: Final answer
    x = 2,631.85

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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.