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Finding the Fourth Proportional to 3,960.66, 5,941.01 and 1,187.39

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Solution

The fourth proportional to 3,960.66, 5,941.01 and 1,187.39 is: 1,781.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,960.66 : 5,941.01 = 1,187.39 : x
  2. Step 2: Convert to fraction form
    3,960.66/5,941.01 = 1,187.39/x
  3. Step 3: Cross multiply
    3,960.66x = 5,941.01 × 1,187.39
  4. Step 4: Simplify right side
    3,960.66x = 7,054,313.68
  5. Step 5: Solve for x
    x = 7,054,313.68/3,960.66
  6. Step 6: Final answer
    x = 1,781.09

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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.