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Finding the Fourth Proportional to 8,287.05, 12,413.78 and 3,838.44

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Solution

The fourth proportional to 8,287.05, 12,413.78 and 3,838.44 is: 5,749.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.05 : 12,413.78 = 3,838.44 : x
  2. Step 2: Convert to fraction form
    8,287.05/12,413.78 = 3,838.44/x
  3. Step 3: Cross multiply
    8,287.05x = 12,413.78 × 3,838.44
  4. Step 4: Simplify right side
    8,287.05x = 47,649,549.70
  5. Step 5: Solve for x
    x = 47,649,549.70/8,287.05
  6. Step 6: Final answer
    x = 5,749.88

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1.5x scale

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.