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Finding the Fourth Proportional to 12,144.25, 16,766.36 and 7,959.79

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Solution

The fourth proportional to 12,144.25, 16,766.36 and 7,959.79 is: 10,989.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.25 : 16,766.36 = 7,959.79 : x
  2. Step 2: Convert to fraction form
    12,144.25/16,766.36 = 7,959.79/x
  3. Step 3: Cross multiply
    12,144.25x = 16,766.36 × 7,959.79
  4. Step 4: Simplify right side
    12,144.25x = 133,456,704.66
  5. Step 5: Solve for x
    x = 133,456,704.66/12,144.25
  6. Step 6: Final answer
    x = 10,989.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.