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Finding the Fourth Proportional to 16,630, 24,945 and 8,422

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Solution

The fourth proportional to 16,630, 24,945 and 8,422 is: 12,633

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,630 : 24,945 = 8,422 : x
  2. Step 2: Convert to fraction form
    16,630/24,945 = 8,422/x
  3. Step 3: Cross multiply
    16,630x = 24,945 × 8,422
  4. Step 4: Simplify right side
    16,630x = 210,086,790
  5. Step 5: Solve for x
    x = 210,086,790/16,630
  6. Step 6: Final answer
    x = 12,633

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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.