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Finding the Fourth Proportional to 3,413.84, 5,120.80 and 1,073.84

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Solution

The fourth proportional to 3,413.84, 5,120.80 and 1,073.84 is: 1,610.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,413.84 : 5,120.80 = 1,073.84 : x
  2. Step 2: Convert to fraction form
    3,413.84/5,120.80 = 1,073.84/x
  3. Step 3: Cross multiply
    3,413.84x = 5,120.80 × 1,073.84
  4. Step 4: Simplify right side
    3,413.84x = 5,498,919.87
  5. Step 5: Solve for x
    x = 5,498,919.87/3,413.84
  6. Step 6: Final answer
    x = 1,610.77

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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.