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Finding the Fourth Proportional to 12,297.76, 18,422.52 and 8,125

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Solution

The fourth proportional to 12,297.76, 18,422.52 and 8,125 is: 12,171.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,297.76 : 18,422.52 = 8,125 : x
  2. Step 2: Convert to fraction form
    12,297.76/18,422.52 = 8,125/x
  3. Step 3: Cross multiply
    12,297.76x = 18,422.52 × 8,125
  4. Step 4: Simplify right side
    12,297.76x = 149,682,975
  5. Step 5: Solve for x
    x = 149,682,975/12,297.76
  6. Step 6: Final answer
    x = 12,171.56

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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.