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Finding the Fourth Proportional to 7,819.56, 10,791 and 4,234.55

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Solution

The fourth proportional to 7,819.56, 10,791 and 4,234.55 is: 5,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,819.56 : 10,791 = 4,234.55 : x
  2. Step 2: Convert to fraction form
    7,819.56/10,791 = 4,234.55/x
  3. Step 3: Cross multiply
    7,819.56x = 10,791 × 4,234.55
  4. Step 4: Simplify right side
    7,819.56x = 45,695,029.05
  5. Step 5: Solve for x
    x = 45,695,029.05/7,819.56
  6. Step 6: Final answer
    x = 5,843.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.