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Finding the Fourth Proportional to 8,717.78, 13,079.20 and 3,171

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Solution

The fourth proportional to 8,717.78, 13,079.20 and 3,171 is: 4,757.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.78 : 13,079.20 = 3,171 : x
  2. Step 2: Convert to fraction form
    8,717.78/13,079.20 = 3,171/x
  3. Step 3: Cross multiply
    8,717.78x = 13,079.20 × 3,171
  4. Step 4: Simplify right side
    8,717.78x = 41,474,143.20
  5. Step 5: Solve for x
    x = 41,474,143.20/8,717.78
  6. Step 6: Final answer
    x = 4,757.42

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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.