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Finding the Fourth Proportional to 3,961.97, 5,942.36 and 1,188.53

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Solution

The fourth proportional to 3,961.97, 5,942.36 and 1,188.53 is: 1,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.97 : 5,942.36 = 1,188.53 : x
  2. Step 2: Convert to fraction form
    3,961.97/5,942.36 = 1,188.53/x
  3. Step 3: Cross multiply
    3,961.97x = 5,942.36 × 1,188.53
  4. Step 4: Simplify right side
    3,961.97x = 7,062,637.48
  5. Step 5: Solve for x
    x = 7,062,637.48/3,961.97
  6. Step 6: Final answer
    x = 1,782.61

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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.