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Finding the Fourth Proportional to 26,624, 39,936 and 8,156

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Solution

The fourth proportional to 26,624, 39,936 and 8,156 is: 12,234

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,624 : 39,936 = 8,156 : x
  2. Step 2: Convert to fraction form
    26,624/39,936 = 8,156/x
  3. Step 3: Cross multiply
    26,624x = 39,936 × 8,156
  4. Step 4: Simplify right side
    26,624x = 325,718,016
  5. Step 5: Solve for x
    x = 325,718,016/26,624
  6. Step 6: Final answer
    x = 12,234

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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.