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Finding the Fourth Proportional to 3,286.63, 4,929.91 and 821.43

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Solution

The fourth proportional to 3,286.63, 4,929.91 and 821.43 is: 1,232.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.63 : 4,929.91 = 821.43 : x
  2. Step 2: Convert to fraction form
    3,286.63/4,929.91 = 821.43/x
  3. Step 3: Cross multiply
    3,286.63x = 4,929.91 × 821.43
  4. Step 4: Simplify right side
    3,286.63x = 4,049,575.97
  5. Step 5: Solve for x
    x = 4,049,575.97/3,286.63
  6. Step 6: Final answer
    x = 1,232.14

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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.