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Finding the Fourth Proportional to 7,661.29, 11,486.09 and 3,961.16

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Solution

The fourth proportional to 7,661.29, 11,486.09 and 3,961.16 is: 5,938.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,661.29 : 11,486.09 = 3,961.16 : x
  2. Step 2: Convert to fraction form
    7,661.29/11,486.09 = 3,961.16/x
  3. Step 3: Cross multiply
    7,661.29x = 11,486.09 × 3,961.16
  4. Step 4: Simplify right side
    7,661.29x = 45,498,163.03
  5. Step 5: Solve for x
    x = 45,498,163.03/7,661.29
  6. Step 6: Final answer
    x = 5,938.71

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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.