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Finding the Fourth Proportional to 8,474, 12,711 and 2,318

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Solution

The fourth proportional to 8,474, 12,711 and 2,318 is: 3,477

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,474 : 12,711 = 2,318 : x
  2. Step 2: Convert to fraction form
    8,474/12,711 = 2,318/x
  3. Step 3: Cross multiply
    8,474x = 12,711 × 2,318
  4. Step 4: Simplify right side
    8,474x = 29,464,098
  5. Step 5: Solve for x
    x = 29,464,098/8,474
  6. Step 6: Final answer
    x = 3,477

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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.