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Finding the Fourth Proportional to 26,586, 39,879 and 8,118

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Solution

The fourth proportional to 26,586, 39,879 and 8,118 is: 12,177

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,586 : 39,879 = 8,118 : x
  2. Step 2: Convert to fraction form
    26,586/39,879 = 8,118/x
  3. Step 3: Cross multiply
    26,586x = 39,879 × 8,118
  4. Step 4: Simplify right side
    26,586x = 323,737,722
  5. Step 5: Solve for x
    x = 323,737,722/26,586
  6. Step 6: Final answer
    x = 12,177

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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.