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Finding the Fourth Proportional to 3,876.78, 5,817.78 and 1,413.56

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Solution

The fourth proportional to 3,876.78, 5,817.78 and 1,413.56 is: 2,121.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.78 : 5,817.78 = 1,413.56 : x
  2. Step 2: Convert to fraction form
    3,876.78/5,817.78 = 1,413.56/x
  3. Step 3: Cross multiply
    3,876.78x = 5,817.78 × 1,413.56
  4. Step 4: Simplify right side
    3,876.78x = 8,223,781.10
  5. Step 5: Solve for x
    x = 8,223,781.10/3,876.78
  6. Step 6: Final answer
    x = 2,121.29

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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.