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Finding the Fourth Proportional to 6,372, 8,791.20 and 3,853.44

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Solution

The fourth proportional to 6,372, 8,791.20 and 3,853.44 is: 5,316.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372 : 8,791.20 = 3,853.44 : x
  2. Step 2: Convert to fraction form
    6,372/8,791.20 = 3,853.44/x
  3. Step 3: Cross multiply
    6,372x = 8,791.20 × 3,853.44
  4. Step 4: Simplify right side
    6,372x = 33,876,361.73
  5. Step 5: Solve for x
    x = 33,876,361.73/6,372
  6. Step 6: Final answer
    x = 5,316.44

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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.