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Finding the Fourth Proportional to 12,819.75, 19,238.75 and 5,028.57

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Solution

The fourth proportional to 12,819.75, 19,238.75 and 5,028.57 is: 7,546.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,819.75 : 19,238.75 = 5,028.57 : x
  2. Step 2: Convert to fraction form
    12,819.75/19,238.75 = 5,028.57/x
  3. Step 3: Cross multiply
    12,819.75x = 19,238.75 × 5,028.57
  4. Step 4: Simplify right side
    12,819.75x = 96,743,375.94
  5. Step 5: Solve for x
    x = 96,743,375.94/12,819.75
  6. Step 6: Final answer
    x = 7,546.43

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1.5x scale

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.