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Finding the Fourth Proportional to 20,243.44, 30,378.88 and 7,096

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Solution

The fourth proportional to 20,243.44, 30,378.88 and 7,096 is: 10,648.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,243.44 : 30,378.88 = 7,096 : x
  2. Step 2: Convert to fraction form
    20,243.44/30,378.88 = 7,096/x
  3. Step 3: Cross multiply
    20,243.44x = 30,378.88 × 7,096
  4. Step 4: Simplify right side
    20,243.44x = 215,568,532.48
  5. Step 5: Solve for x
    x = 215,568,532.48/20,243.44
  6. Step 6: Final answer
    x = 10,648.81

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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.