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Finding the Fourth Proportional to 3,169.05, 4,755.05 and 1,413.87

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Solution

The fourth proportional to 3,169.05, 4,755.05 and 1,413.87 is: 2,121.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,169.05 : 4,755.05 = 1,413.87 : x
  2. Step 2: Convert to fraction form
    3,169.05/4,755.05 = 1,413.87/x
  3. Step 3: Cross multiply
    3,169.05x = 4,755.05 × 1,413.87
  4. Step 4: Simplify right side
    3,169.05x = 6,723,017.58
  5. Step 5: Solve for x
    x = 6,723,017.58/3,169.05
  6. Step 6: Final answer
    x = 2,121.46

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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.