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Finding the Fourth Proportional to 8,149.76, 11,256 and 5,367.68

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Solution

The fourth proportional to 8,149.76, 11,256 and 5,367.68 is: 7,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.76 : 11,256 = 5,367.68 : x
  2. Step 2: Convert to fraction form
    8,149.76/11,256 = 5,367.68/x
  3. Step 3: Cross multiply
    8,149.76x = 11,256 × 5,367.68
  4. Step 4: Simplify right side
    8,149.76x = 60,418,606.08
  5. Step 5: Solve for x
    x = 60,418,606.08/8,149.76
  6. Step 6: Final answer
    x = 7,413.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.