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Finding the Fourth Proportional to 8,413.04, 12,620.95 and 3,149.90

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Solution

The fourth proportional to 8,413.04, 12,620.95 and 3,149.90 is: 4,725.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.04 : 12,620.95 = 3,149.90 : x
  2. Step 2: Convert to fraction form
    8,413.04/12,620.95 = 3,149.90/x
  3. Step 3: Cross multiply
    8,413.04x = 12,620.95 × 3,149.90
  4. Step 4: Simplify right side
    8,413.04x = 39,754,754.08
  5. Step 5: Solve for x
    x = 39,754,754.08/8,413.04
  6. Step 6: Final answer
    x = 4,725.38

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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.