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Finding the Fourth Proportional to 12,414, 17,131.38 and 6,825

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Solution

The fourth proportional to 12,414, 17,131.38 and 6,825 is: 9,418.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,414 : 17,131.38 = 6,825 : x
  2. Step 2: Convert to fraction form
    12,414/17,131.38 = 6,825/x
  3. Step 3: Cross multiply
    12,414x = 17,131.38 × 6,825
  4. Step 4: Simplify right side
    12,414x = 116,921,668.50
  5. Step 5: Solve for x
    x = 116,921,668.50/12,414
  6. Step 6: Final answer
    x = 9,418.53

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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.