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Finding the Fourth Proportional to 3,960.94, 5,941.42 and 1,187.90

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Solution

The fourth proportional to 3,960.94, 5,941.42 and 1,187.90 is: 1,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.94 : 5,941.42 = 1,187.90 : x
  2. Step 2: Convert to fraction form
    3,960.94/5,941.42 = 1,187.90/x
  3. Step 3: Cross multiply
    3,960.94x = 5,941.42 × 1,187.90
  4. Step 4: Simplify right side
    3,960.94x = 7,057,812.82
  5. Step 5: Solve for x
    x = 7,057,812.82/3,960.94
  6. Step 6: Final answer
    x = 1,781.85

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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.