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Finding the Fourth Proportional to 3,960.69, 5,941.04 and 1,187.66

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Solution

The fourth proportional to 3,960.69, 5,941.04 and 1,187.66 is: 1,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.69 : 5,941.04 = 1,187.66 : x
  2. Step 2: Convert to fraction form
    3,960.69/5,941.04 = 1,187.66/x
  3. Step 3: Cross multiply
    3,960.69x = 5,941.04 × 1,187.66
  4. Step 4: Simplify right side
    3,960.69x = 7,055,935.57
  5. Step 5: Solve for x
    x = 7,055,935.57/3,960.69
  6. Step 6: Final answer
    x = 1,781.49

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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.