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Finding the Fourth Proportional to 4,809.80, 7,211.10 and 2,034.20

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Solution

The fourth proportional to 4,809.80, 7,211.10 and 2,034.20 is: 3,049.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,809.80 : 7,211.10 = 2,034.20 : x
  2. Step 2: Convert to fraction form
    4,809.80/7,211.10 = 2,034.20/x
  3. Step 3: Cross multiply
    4,809.80x = 7,211.10 × 2,034.20
  4. Step 4: Simplify right side
    4,809.80x = 14,668,819.62
  5. Step 5: Solve for x
    x = 14,668,819.62/4,809.80
  6. Step 6: Final answer
    x = 3,049.78

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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.