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Finding the Fourth Proportional to 31,786.92, 47,683.08 and 8,413.02

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Solution

The fourth proportional to 31,786.92, 47,683.08 and 8,413.02 is: 12,620.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,786.92 : 47,683.08 = 8,413.02 : x
  2. Step 2: Convert to fraction form
    31,786.92/47,683.08 = 8,413.02/x
  3. Step 3: Cross multiply
    31,786.92x = 47,683.08 × 8,413.02
  4. Step 4: Simplify right side
    31,786.92x = 401,158,705.70
  5. Step 5: Solve for x
    x = 401,158,705.70/31,786.92
  6. Step 6: Final answer
    x = 12,620.24

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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.