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Finding the Fourth Proportional to 4,906.32, 6,768 and 3,228

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Solution

The fourth proportional to 4,906.32, 6,768 and 3,228 is: 4,452.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.32 : 6,768 = 3,228 : x
  2. Step 2: Convert to fraction form
    4,906.32/6,768 = 3,228/x
  3. Step 3: Cross multiply
    4,906.32x = 6,768 × 3,228
  4. Step 4: Simplify right side
    4,906.32x = 21,847,104
  5. Step 5: Solve for x
    x = 21,847,104/4,906.32
  6. Step 6: Final answer
    x = 4,452.85

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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.