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Finding the Fourth Proportional to 8,992.25, 13,489.76 and 3,067.75

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Solution

The fourth proportional to 8,992.25, 13,489.76 and 3,067.75 is: 4,602.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,992.25 : 13,489.76 = 3,067.75 : x
  2. Step 2: Convert to fraction form
    8,992.25/13,489.76 = 3,067.75/x
  3. Step 3: Cross multiply
    8,992.25x = 13,489.76 × 3,067.75
  4. Step 4: Simplify right side
    8,992.25x = 41,383,170.23
  5. Step 5: Solve for x
    x = 41,383,170.23/8,992.25
  6. Step 6: Final answer
    x = 4,602.09

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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.