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Finding the Fourth Proportional to 12,234.36, 16,882.36 and 7,198.80

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Solution

The fourth proportional to 12,234.36, 16,882.36 and 7,198.80 is: 9,933.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.36 : 16,882.36 = 7,198.80 : x
  2. Step 2: Convert to fraction form
    12,234.36/16,882.36 = 7,198.80/x
  3. Step 3: Cross multiply
    12,234.36x = 16,882.36 × 7,198.80
  4. Step 4: Simplify right side
    12,234.36x = 121,532,733.17
  5. Step 5: Solve for x
    x = 121,532,733.17/12,234.36
  6. Step 6: Final answer
    x = 9,933.72

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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.