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Finding the Fourth Proportional to 3,761.82, 5,191.22 and 2,083.12

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Solution

The fourth proportional to 3,761.82, 5,191.22 and 2,083.12 is: 2,874.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,761.82 : 5,191.22 = 2,083.12 : x
  2. Step 2: Convert to fraction form
    3,761.82/5,191.22 = 2,083.12/x
  3. Step 3: Cross multiply
    3,761.82x = 5,191.22 × 2,083.12
  4. Step 4: Simplify right side
    3,761.82x = 10,813,934.21
  5. Step 5: Solve for x
    x = 10,813,934.21/3,761.82
  6. Step 6: Final answer
    x = 2,874.65

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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.