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Finding the Fourth Proportional to 2,520.49, 3,781.10 and 789.25

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Solution

The fourth proportional to 2,520.49, 3,781.10 and 789.25 is: 1,183.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,520.49 : 3,781.10 = 789.25 : x
  2. Step 2: Convert to fraction form
    2,520.49/3,781.10 = 789.25/x
  3. Step 3: Cross multiply
    2,520.49x = 3,781.10 × 789.25
  4. Step 4: Simplify right side
    2,520.49x = 2,984,229.23
  5. Step 5: Solve for x
    x = 2,984,229.23/2,520.49
  6. Step 6: Final answer
    x = 1,183.99

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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.