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Finding the Fourth Proportional to 9,109.97, 13,661 and 3,847.33

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Solution

The fourth proportional to 9,109.97, 13,661 and 3,847.33 is: 5,769.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.97 : 13,661 = 3,847.33 : x
  2. Step 2: Convert to fraction form
    9,109.97/13,661 = 3,847.33/x
  3. Step 3: Cross multiply
    9,109.97x = 13,661 × 3,847.33
  4. Step 4: Simplify right side
    9,109.97x = 52,558,375.13
  5. Step 5: Solve for x
    x = 52,558,375.13/9,109.97
  6. Step 6: Final answer
    x = 5,769.32

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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.