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Finding the Fourth Proportional to 27,803.44, 41,676 and 20,396.80

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Solution

The fourth proportional to 27,803.44, 41,676 and 20,396.80 is: 30,573.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.44 : 41,676 = 20,396.80 : x
  2. Step 2: Convert to fraction form
    27,803.44/41,676 = 20,396.80/x
  3. Step 3: Cross multiply
    27,803.44x = 41,676 × 20,396.80
  4. Step 4: Simplify right side
    27,803.44x = 850,057,036.80
  5. Step 5: Solve for x
    x = 850,057,036.80/27,803.44
  6. Step 6: Final answer
    x = 30,573.81

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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.