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Finding the Fourth Proportional to 3,759.60, 5,640.60 and 1,163.28

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Solution

The fourth proportional to 3,759.60, 5,640.60 and 1,163.28 is: 1,745.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,759.60 : 5,640.60 = 1,163.28 : x
  2. Step 2: Convert to fraction form
    3,759.60/5,640.60 = 1,163.28/x
  3. Step 3: Cross multiply
    3,759.60x = 5,640.60 × 1,163.28
  4. Step 4: Simplify right side
    3,759.60x = 6,561,597.17
  5. Step 5: Solve for x
    x = 6,561,597.17/3,759.60
  6. Step 6: Final answer
    x = 1,745.29

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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.