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Finding the Fourth Proportional to 3,286.32, 4,929.42 and 821.11

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Solution

The fourth proportional to 3,286.32, 4,929.42 and 821.11 is: 1,231.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.32 : 4,929.42 = 821.11 : x
  2. Step 2: Convert to fraction form
    3,286.32/4,929.42 = 821.11/x
  3. Step 3: Cross multiply
    3,286.32x = 4,929.42 × 821.11
  4. Step 4: Simplify right side
    3,286.32x = 4,047,596.06
  5. Step 5: Solve for x
    x = 4,047,596.06/3,286.32
  6. Step 6: Final answer
    x = 1,231.65

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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.