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Finding the Fourth Proportional to 2,736.99, 4,105.46 and 789.13

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Solution

The fourth proportional to 2,736.99, 4,105.46 and 789.13 is: 1,183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.99 : 4,105.46 = 789.13 : x
  2. Step 2: Convert to fraction form
    2,736.99/4,105.46 = 789.13/x
  3. Step 3: Cross multiply
    2,736.99x = 4,105.46 × 789.13
  4. Step 4: Simplify right side
    2,736.99x = 3,239,737.70
  5. Step 5: Solve for x
    x = 3,239,737.70/2,736.99
  6. Step 6: Final answer
    x = 1,183.69

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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.