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Finding the Fourth Proportional to 8,081.82, 11,159.91 and 5,961.02

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Solution

The fourth proportional to 8,081.82, 11,159.91 and 5,961.02 is: 8,231.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,081.82 : 11,159.91 = 5,961.02 : x
  2. Step 2: Convert to fraction form
    8,081.82/11,159.91 = 5,961.02/x
  3. Step 3: Cross multiply
    8,081.82x = 11,159.91 × 5,961.02
  4. Step 4: Simplify right side
    8,081.82x = 66,524,489.99
  5. Step 5: Solve for x
    x = 66,524,489.99/8,081.82
  6. Step 6: Final answer
    x = 8,231.38

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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.