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Finding the Fourth Proportional to 12,576.73, 17,353.47 and 8,099.59

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Solution

The fourth proportional to 12,576.73, 17,353.47 and 8,099.59 is: 11,175.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.73 : 17,353.47 = 8,099.59 : x
  2. Step 2: Convert to fraction form
    12,576.73/17,353.47 = 8,099.59/x
  3. Step 3: Cross multiply
    12,576.73x = 17,353.47 × 8,099.59
  4. Step 4: Simplify right side
    12,576.73x = 140,555,992.08
  5. Step 5: Solve for x
    x = 140,555,992.08/12,576.73
  6. Step 6: Final answer
    x = 11,175.88

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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.