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Finding the Fourth Proportional to 8,413.94, 12,620.94 and 2,867.90

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Solution

The fourth proportional to 8,413.94, 12,620.94 and 2,867.90 is: 4,301.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.94 : 12,620.94 = 2,867.90 : x
  2. Step 2: Convert to fraction form
    8,413.94/12,620.94 = 2,867.90/x
  3. Step 3: Cross multiply
    8,413.94x = 12,620.94 × 2,867.90
  4. Step 4: Simplify right side
    8,413.94x = 36,195,593.83
  5. Step 5: Solve for x
    x = 36,195,593.83/8,413.94
  6. Step 6: Final answer
    x = 4,301.86

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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.