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Finding the Fourth Proportional to 3,286.22, 4,929.33 and 3,213.32

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Solution

The fourth proportional to 3,286.22, 4,929.33 and 3,213.32 is: 4,819.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.22 : 4,929.33 = 3,213.32 : x
  2. Step 2: Convert to fraction form
    3,286.22/4,929.33 = 3,213.32/x
  3. Step 3: Cross multiply
    3,286.22x = 4,929.33 × 3,213.32
  4. Step 4: Simplify right side
    3,286.22x = 15,839,514.68
  5. Step 5: Solve for x
    x = 15,839,514.68/3,286.22
  6. Step 6: Final answer
    x = 4,819.98

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Similar ratio
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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.