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Finding the Fourth Proportional to 20,508.70, 30,764.22 and 6,469.18

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Solution

The fourth proportional to 20,508.70, 30,764.22 and 6,469.18 is: 9,704.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,508.70 : 30,764.22 = 6,469.18 : x
  2. Step 2: Convert to fraction form
    20,508.70/30,764.22 = 6,469.18/x
  3. Step 3: Cross multiply
    20,508.70x = 30,764.22 × 6,469.18
  4. Step 4: Simplify right side
    20,508.70x = 199,019,276.74
  5. Step 5: Solve for x
    x = 199,019,276.74/20,508.70
  6. Step 6: Final answer
    x = 9,704.14

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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.