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Finding the Fourth Proportional to 26,802, 40,212 and 11,999.52

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Solution

The fourth proportional to 26,802, 40,212 and 11,999.52 is: 18,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,802 : 40,212 = 11,999.52 : x
  2. Step 2: Convert to fraction form
    26,802/40,212 = 11,999.52/x
  3. Step 3: Cross multiply
    26,802x = 40,212 × 11,999.52
  4. Step 4: Simplify right side
    26,802x = 482,524,698.24
  5. Step 5: Solve for x
    x = 482,524,698.24/26,802
  6. Step 6: Final answer
    x = 18,003.31

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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.