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Finding the Fourth Proportional to 13,138.49, 18,131 and 7,169.96

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Solution

The fourth proportional to 13,138.49, 18,131 and 7,169.96 is: 9,894.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,138.49 : 18,131 = 7,169.96 : x
  2. Step 2: Convert to fraction form
    13,138.49/18,131 = 7,169.96/x
  3. Step 3: Cross multiply
    13,138.49x = 18,131 × 7,169.96
  4. Step 4: Simplify right side
    13,138.49x = 129,998,544.76
  5. Step 5: Solve for x
    x = 129,998,544.76/13,138.49
  6. Step 6: Final answer
    x = 9,894.48

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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.