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Finding the Fourth Proportional to 16,984.80, 25,469 and 7,121.43

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Solution

The fourth proportional to 16,984.80, 25,469 and 7,121.43 is: 10,678.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,984.80 : 25,469 = 7,121.43 : x
  2. Step 2: Convert to fraction form
    16,984.80/25,469 = 7,121.43/x
  3. Step 3: Cross multiply
    16,984.80x = 25,469 × 7,121.43
  4. Step 4: Simplify right side
    16,984.80x = 181,375,700.67
  5. Step 5: Solve for x
    x = 181,375,700.67/16,984.80
  6. Step 6: Final answer
    x = 10,678.71

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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.