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Finding the Fourth Proportional to 3,921.66, 5,408.82 and 3,474

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Solution

The fourth proportional to 3,921.66, 5,408.82 and 3,474 is: 4,791.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,921.66 : 5,408.82 = 3,474 : x
  2. Step 2: Convert to fraction form
    3,921.66/5,408.82 = 3,474/x
  3. Step 3: Cross multiply
    3,921.66x = 5,408.82 × 3,474
  4. Step 4: Simplify right side
    3,921.66x = 18,790,240.68
  5. Step 5: Solve for x
    x = 18,790,240.68/3,921.66
  6. Step 6: Final answer
    x = 4,791.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.