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Finding the Fourth Proportional to 2,737.20, 4,105.44 and 789.24

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Solution

The fourth proportional to 2,737.20, 4,105.44 and 789.24 is: 1,183.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,737.20 : 4,105.44 = 789.24 : x
  2. Step 2: Convert to fraction form
    2,737.20/4,105.44 = 789.24/x
  3. Step 3: Cross multiply
    2,737.20x = 4,105.44 × 789.24
  4. Step 4: Simplify right side
    2,737.20x = 3,240,177.47
  5. Step 5: Solve for x
    x = 3,240,177.47/2,737.20
  6. Step 6: Final answer
    x = 1,183.76

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Why These Related Problems?

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