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Finding the Fourth Proportional to 3,198.89, 4,413.89 and 1,872.62

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Solution

The fourth proportional to 3,198.89, 4,413.89 and 1,872.62 is: 2,583.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,198.89 : 4,413.89 = 1,872.62 : x
  2. Step 2: Convert to fraction form
    3,198.89/4,413.89 = 1,872.62/x
  3. Step 3: Cross multiply
    3,198.89x = 4,413.89 × 1,872.62
  4. Step 4: Simplify right side
    3,198.89x = 8,265,537.86
  5. Step 5: Solve for x
    x = 8,265,537.86/3,198.89
  6. Step 6: Final answer
    x = 2,583.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.