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Finding the Fourth Proportional to 3,961.79, 5,941.41 and 1,187.94

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Solution

The fourth proportional to 3,961.79, 5,941.41 and 1,187.94 is: 1,781.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,961.79 : 5,941.41 = 1,187.94 : x
  2. Step 2: Convert to fraction form
    3,961.79/5,941.41 = 1,187.94/x
  3. Step 3: Cross multiply
    3,961.79x = 5,941.41 × 1,187.94
  4. Step 4: Simplify right side
    3,961.79x = 7,058,038.60
  5. Step 5: Solve for x
    x = 7,058,038.60/3,961.79
  6. Step 6: Final answer
    x = 1,781.53

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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.