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Finding the Fourth Proportional to 3,923, 5,413.80 and 2,929.16

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Solution

The fourth proportional to 3,923, 5,413.80 and 2,929.16 is: 4,042.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,923 : 5,413.80 = 2,929.16 : x
  2. Step 2: Convert to fraction form
    3,923/5,413.80 = 2,929.16/x
  3. Step 3: Cross multiply
    3,923x = 5,413.80 × 2,929.16
  4. Step 4: Simplify right side
    3,923x = 15,857,886.41
  5. Step 5: Solve for x
    x = 15,857,886.41/3,923
  6. Step 6: Final answer
    x = 4,042.29

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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.