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Finding the Fourth Proportional to 10,774, 16,161 and 3,478

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Solution

The fourth proportional to 10,774, 16,161 and 3,478 is: 5,217

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,774 : 16,161 = 3,478 : x
  2. Step 2: Convert to fraction form
    10,774/16,161 = 3,478/x
  3. Step 3: Cross multiply
    10,774x = 16,161 × 3,478
  4. Step 4: Simplify right side
    10,774x = 56,207,958
  5. Step 5: Solve for x
    x = 56,207,958/10,774
  6. Step 6: Final answer
    x = 5,217

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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.