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Finding the Fourth Proportional to 12,474, 18,696.42 and 6,924.69

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Solution

The fourth proportional to 12,474, 18,696.42 and 6,924.69 is: 10,378.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,474 : 18,696.42 = 6,924.69 : x
  2. Step 2: Convert to fraction form
    12,474/18,696.42 = 6,924.69/x
  3. Step 3: Cross multiply
    12,474x = 18,696.42 × 6,924.69
  4. Step 4: Simplify right side
    12,474x = 129,466,912.61
  5. Step 5: Solve for x
    x = 129,466,912.61/12,474
  6. Step 6: Final answer
    x = 10,378.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.