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Finding the Fourth Proportional to 17,012.72, 25,519.80 and 8,255

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Solution

The fourth proportional to 17,012.72, 25,519.80 and 8,255 is: 12,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,012.72 : 25,519.80 = 8,255 : x
  2. Step 2: Convert to fraction form
    17,012.72/25,519.80 = 8,255/x
  3. Step 3: Cross multiply
    17,012.72x = 25,519.80 × 8,255
  4. Step 4: Simplify right side
    17,012.72x = 210,665,949
  5. Step 5: Solve for x
    x = 210,665,949/17,012.72
  6. Step 6: Final answer
    x = 12,382.85

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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.