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Finding the Fourth Proportional to 13,169.86, 18,169.31 and 8,125.31

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Solution

The fourth proportional to 13,169.86, 18,169.31 and 8,125.31 is: 11,209.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,169.86 : 18,169.31 = 8,125.31 : x
  2. Step 2: Convert to fraction form
    13,169.86/18,169.31 = 8,125.31/x
  3. Step 3: Cross multiply
    13,169.86x = 18,169.31 × 8,125.31
  4. Step 4: Simplify right side
    13,169.86x = 147,631,341.97
  5. Step 5: Solve for x
    x = 147,631,341.97/13,169.86
  6. Step 6: Final answer
    x = 11,209.79

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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.