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Finding the Fourth Proportional to 2,350.13, 3,524.42 and 789.71

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Solution

The fourth proportional to 2,350.13, 3,524.42 and 789.71 is: 1,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350.13 : 3,524.42 = 789.71 : x
  2. Step 2: Convert to fraction form
    2,350.13/3,524.42 = 789.71/x
  3. Step 3: Cross multiply
    2,350.13x = 3,524.42 × 789.71
  4. Step 4: Simplify right side
    2,350.13x = 2,783,248.15
  5. Step 5: Solve for x
    x = 2,783,248.15/2,350.13
  6. Step 6: Final answer
    x = 1,184.30

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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.