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Finding the Fourth Proportional to 12,576.64, 17,350.79 and 8,103

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Solution

The fourth proportional to 12,576.64, 17,350.79 and 8,103 is: 11,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,576.64 : 17,350.79 = 8,103 : x
  2. Step 2: Convert to fraction form
    12,576.64/17,350.79 = 8,103/x
  3. Step 3: Cross multiply
    12,576.64x = 17,350.79 × 8,103
  4. Step 4: Simplify right side
    12,576.64x = 140,593,451.37
  5. Step 5: Solve for x
    x = 140,593,451.37/12,576.64
  6. Step 6: Final answer
    x = 11,178.94

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Why These Related Problems?

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