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Finding the Fourth Proportional to 8,413.92, 12,621.97 and 2,865.78

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Solution

The fourth proportional to 8,413.92, 12,621.97 and 2,865.78 is: 4,299.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.92 : 12,621.97 = 2,865.78 : x
  2. Step 2: Convert to fraction form
    8,413.92/12,621.97 = 2,865.78/x
  3. Step 3: Cross multiply
    8,413.92x = 12,621.97 × 2,865.78
  4. Step 4: Simplify right side
    8,413.92x = 36,171,726.08
  5. Step 5: Solve for x
    x = 36,171,726.08/8,413.92
  6. Step 6: Final answer
    x = 4,299.03

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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.