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Finding the Fourth Proportional to 5,857.82, 8,087.13 and 3,874.13

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Solution

The fourth proportional to 5,857.82, 8,087.13 and 3,874.13 is: 5,348.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,857.82 : 8,087.13 = 3,874.13 : x
  2. Step 2: Convert to fraction form
    5,857.82/8,087.13 = 3,874.13/x
  3. Step 3: Cross multiply
    5,857.82x = 8,087.13 × 3,874.13
  4. Step 4: Simplify right side
    5,857.82x = 31,330,592.95
  5. Step 5: Solve for x
    x = 31,330,592.95/5,857.82
  6. Step 6: Final answer
    x = 5,348.51

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