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Finding the Fourth Proportional to 10,474, 15,711 and 3,178

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Solution

The fourth proportional to 10,474, 15,711 and 3,178 is: 4,767

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,474 : 15,711 = 3,178 : x
  2. Step 2: Convert to fraction form
    10,474/15,711 = 3,178/x
  3. Step 3: Cross multiply
    10,474x = 15,711 × 3,178
  4. Step 4: Simplify right side
    10,474x = 49,929,558
  5. Step 5: Solve for x
    x = 49,929,558/10,474
  6. Step 6: Final answer
    x = 4,767

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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.