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Finding the Fourth Proportional to 11,204.56, 16,806.90 and 3,413.80

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Solution

The fourth proportional to 11,204.56, 16,806.90 and 3,413.80 is: 5,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,204.56 : 16,806.90 = 3,413.80 : x
  2. Step 2: Convert to fraction form
    11,204.56/16,806.90 = 3,413.80/x
  3. Step 3: Cross multiply
    11,204.56x = 16,806.90 × 3,413.80
  4. Step 4: Simplify right side
    11,204.56x = 57,375,395.22
  5. Step 5: Solve for x
    x = 57,375,395.22/11,204.56
  6. Step 6: Final answer
    x = 5,120.72

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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.