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Finding the Fourth Proportional to 6,286.97, 8,676.02 and 3,929.09

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Solution

The fourth proportional to 6,286.97, 8,676.02 and 3,929.09 is: 5,422.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.97 : 8,676.02 = 3,929.09 : x
  2. Step 2: Convert to fraction form
    6,286.97/8,676.02 = 3,929.09/x
  3. Step 3: Cross multiply
    6,286.97x = 8,676.02 × 3,929.09
  4. Step 4: Simplify right side
    6,286.97x = 34,088,800.40
  5. Step 5: Solve for x
    x = 34,088,800.40/6,286.97
  6. Step 6: Final answer
    x = 5,422.14

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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.