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Finding the Fourth Proportional to 3,212.80, 4,819.20 and 2,780.80

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Solution

The fourth proportional to 3,212.80, 4,819.20 and 2,780.80 is: 4,171.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,212.80 : 4,819.20 = 2,780.80 : x
  2. Step 2: Convert to fraction form
    3,212.80/4,819.20 = 2,780.80/x
  3. Step 3: Cross multiply
    3,212.80x = 4,819.20 × 2,780.80
  4. Step 4: Simplify right side
    3,212.80x = 13,401,231.36
  5. Step 5: Solve for x
    x = 13,401,231.36/3,212.80
  6. Step 6: Final answer
    x = 4,171.20

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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.