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Finding the Fourth Proportional to 18,645.31, 27,972.34 and 6,165.33

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Solution

The fourth proportional to 18,645.31, 27,972.34 and 6,165.33 is: 9,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,645.31 : 27,972.34 = 6,165.33 : x
  2. Step 2: Convert to fraction form
    18,645.31/27,972.34 = 6,165.33/x
  3. Step 3: Cross multiply
    18,645.31x = 27,972.34 × 6,165.33
  4. Step 4: Simplify right side
    18,645.31x = 172,458,706.97
  5. Step 5: Solve for x
    x = 172,458,706.97/18,645.31
  6. Step 6: Final answer
    x = 9,249.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.