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Finding the Fourth Proportional to 3,728.92, 5,589.89 and 1,262.02

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Solution

The fourth proportional to 3,728.92, 5,589.89 and 1,262.02 is: 1,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,728.92 : 5,589.89 = 1,262.02 : x
  2. Step 2: Convert to fraction form
    3,728.92/5,589.89 = 1,262.02/x
  3. Step 3: Cross multiply
    3,728.92x = 5,589.89 × 1,262.02
  4. Step 4: Simplify right side
    3,728.92x = 7,054,542.16
  5. Step 5: Solve for x
    x = 7,054,542.16/3,728.92
  6. Step 6: Final answer
    x = 1,891.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.