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Finding the Fourth Proportional to 17,144.80, 25,715.04 and 8,375.20

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Solution

The fourth proportional to 17,144.80, 25,715.04 and 8,375.20 is: 12,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,144.80 : 25,715.04 = 8,375.20 : x
  2. Step 2: Convert to fraction form
    17,144.80/25,715.04 = 8,375.20/x
  3. Step 3: Cross multiply
    17,144.80x = 25,715.04 × 8,375.20
  4. Step 4: Simplify right side
    17,144.80x = 215,368,603.01
  5. Step 5: Solve for x
    x = 215,368,603.01/17,144.80
  6. Step 6: Final answer
    x = 12,561.74

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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.