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Finding the Fourth Proportional to 8,413.29, 12,620.29 and 3,147.78

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Solution

The fourth proportional to 8,413.29, 12,620.29 and 3,147.78 is: 4,721.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,413.29 : 12,620.29 = 3,147.78 : x
  2. Step 2: Convert to fraction form
    8,413.29/12,620.29 = 3,147.78/x
  3. Step 3: Cross multiply
    8,413.29x = 12,620.29 × 3,147.78
  4. Step 4: Simplify right side
    8,413.29x = 39,725,896.46
  5. Step 5: Solve for x
    x = 39,725,896.46/8,413.29
  6. Step 6: Final answer
    x = 4,721.80

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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.