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Finding the Fourth Proportional to 20,512, 30,770.97 and 6,467.28

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Solution

The fourth proportional to 20,512, 30,770.97 and 6,467.28 is: 9,701.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512 : 30,770.97 = 6,467.28 : x
  2. Step 2: Convert to fraction form
    20,512/30,770.97 = 6,467.28/x
  3. Step 3: Cross multiply
    20,512x = 30,770.97 × 6,467.28
  4. Step 4: Simplify right side
    20,512x = 199,004,478.86
  5. Step 5: Solve for x
    x = 199,004,478.86/20,512
  6. Step 6: Final answer
    x = 9,701.86

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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.