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Finding the Fourth Proportional to 20,469.72, 30,704.63 and 5,679.43

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Solution

The fourth proportional to 20,469.72, 30,704.63 and 5,679.43 is: 8,519.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,469.72 : 30,704.63 = 5,679.43 : x
  2. Step 2: Convert to fraction form
    20,469.72/30,704.63 = 5,679.43/x
  3. Step 3: Cross multiply
    20,469.72x = 30,704.63 × 5,679.43
  4. Step 4: Simplify right side
    20,469.72x = 174,384,796.76
  5. Step 5: Solve for x
    x = 174,384,796.76/20,469.72
  6. Step 6: Final answer
    x = 8,519.16

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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.