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Finding the Fourth Proportional to 13,163.96, 18,171.30 and 8,129

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Solution

The fourth proportional to 13,163.96, 18,171.30 and 8,129 is: 11,221.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,163.96 : 18,171.30 = 8,129 : x
  2. Step 2: Convert to fraction form
    13,163.96/18,171.30 = 8,129/x
  3. Step 3: Cross multiply
    13,163.96x = 18,171.30 × 8,129
  4. Step 4: Simplify right side
    13,163.96x = 147,714,497.70
  5. Step 5: Solve for x
    x = 147,714,497.70/13,163.96
  6. Step 6: Final answer
    x = 11,221.13

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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.