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Finding the Fourth Proportional to 8,654.90, 12,982.34 and 2,081.09

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Solution

The fourth proportional to 8,654.90, 12,982.34 and 2,081.09 is: 3,121.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,654.90 : 12,982.34 = 2,081.09 : x
  2. Step 2: Convert to fraction form
    8,654.90/12,982.34 = 2,081.09/x
  3. Step 3: Cross multiply
    8,654.90x = 12,982.34 × 2,081.09
  4. Step 4: Simplify right side
    8,654.90x = 27,017,353.04
  5. Step 5: Solve for x
    x = 27,017,353.04/8,654.90
  6. Step 6: Final answer
    x = 3,121.63

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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.