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Finding the Fourth Proportional to 26,596, 39,894 and 8,129.44

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Solution

The fourth proportional to 26,596, 39,894 and 8,129.44 is: 12,194.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,596 : 39,894 = 8,129.44 : x
  2. Step 2: Convert to fraction form
    26,596/39,894 = 8,129.44/x
  3. Step 3: Cross multiply
    26,596x = 39,894 × 8,129.44
  4. Step 4: Simplify right side
    26,596x = 324,315,879.36
  5. Step 5: Solve for x
    x = 324,315,879.36/26,596
  6. Step 6: Final answer
    x = 12,194.16

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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.