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Finding the Fourth Proportional to 3,608.78, 5,413.17 and 872.78

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Solution

The fourth proportional to 3,608.78, 5,413.17 and 872.78 is: 1,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,608.78 : 5,413.17 = 872.78 : x
  2. Step 2: Convert to fraction form
    3,608.78/5,413.17 = 872.78/x
  3. Step 3: Cross multiply
    3,608.78x = 5,413.17 × 872.78
  4. Step 4: Simplify right side
    3,608.78x = 4,724,506.51
  5. Step 5: Solve for x
    x = 4,724,506.51/3,608.78
  6. Step 6: Final answer
    x = 1,309.17

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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.