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Finding the Fourth Proportional to 18,561.31, 27,839.70 and 5,413.69

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Solution

The fourth proportional to 18,561.31, 27,839.70 and 5,413.69 is: 8,119.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,561.31 : 27,839.70 = 5,413.69 : x
  2. Step 2: Convert to fraction form
    18,561.31/27,839.70 = 5,413.69/x
  3. Step 3: Cross multiply
    18,561.31x = 27,839.70 × 5,413.69
  4. Step 4: Simplify right side
    18,561.31x = 150,715,540.29
  5. Step 5: Solve for x
    x = 150,715,540.29/18,561.31
  6. Step 6: Final answer
    x = 8,119.88

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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.