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Finding the Fourth Proportional to 3,761.49, 5,642.94 and 1,163.82

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Solution

The fourth proportional to 3,761.49, 5,642.94 and 1,163.82 is: 1,745.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.49 : 5,642.94 = 1,163.82 : x
  2. Step 2: Convert to fraction form
    3,761.49/5,642.94 = 1,163.82/x
  3. Step 3: Cross multiply
    3,761.49x = 5,642.94 × 1,163.82
  4. Step 4: Simplify right side
    3,761.49x = 6,567,366.43
  5. Step 5: Solve for x
    x = 6,567,366.43/3,761.49
  6. Step 6: Final answer
    x = 1,745.95

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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.