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Finding the Fourth Proportional to 3,711.82, 5,122.28 and 2,033.20

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Solution

The fourth proportional to 3,711.82, 5,122.28 and 2,033.20 is: 2,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.82 : 5,122.28 = 2,033.20 : x
  2. Step 2: Convert to fraction form
    3,711.82/5,122.28 = 2,033.20/x
  3. Step 3: Cross multiply
    3,711.82x = 5,122.28 × 2,033.20
  4. Step 4: Simplify right side
    3,711.82x = 10,414,619.70
  5. Step 5: Solve for x
    x = 10,414,619.70/3,711.82
  6. Step 6: Final answer
    x = 2,805.80

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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.