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Finding the Fourth Proportional to 17,144.80, 25,712.70 and 7,279

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Solution

The fourth proportional to 17,144.80, 25,712.70 and 7,279 is: 10,916.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.80 : 25,712.70 = 7,279 : x
  2. Step 2: Convert to fraction form
    17,144.80/25,712.70 = 7,279/x
  3. Step 3: Cross multiply
    17,144.80x = 25,712.70 × 7,279
  4. Step 4: Simplify right side
    17,144.80x = 187,162,743.30
  5. Step 5: Solve for x
    x = 187,162,743.30/17,144.80
  6. Step 6: Final answer
    x = 10,916.59

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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.