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Finding the Fourth Proportional to 5,981.31, 8,257.92 and 3,857.88

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Solution

The fourth proportional to 5,981.31, 8,257.92 and 3,857.88 is: 5,326.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,981.31 : 8,257.92 = 3,857.88 : x
  2. Step 2: Convert to fraction form
    5,981.31/8,257.92 = 3,857.88/x
  3. Step 3: Cross multiply
    5,981.31x = 8,257.92 × 3,857.88
  4. Step 4: Simplify right side
    5,981.31x = 31,858,064.41
  5. Step 5: Solve for x
    x = 31,858,064.41/5,981.31
  6. Step 6: Final answer
    x = 5,326.27

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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.