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Finding the Fourth Proportional to 20,512.65, 30,769.64 and 6,472.81

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Solution

The fourth proportional to 20,512.65, 30,769.64 and 6,472.81 is: 9,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,512.65 : 30,769.64 = 6,472.81 : x
  2. Step 2: Convert to fraction form
    20,512.65/30,769.64 = 6,472.81/x
  3. Step 3: Cross multiply
    20,512.65x = 30,769.64 × 6,472.81
  4. Step 4: Simplify right side
    20,512.65x = 199,166,033.49
  5. Step 5: Solve for x
    x = 199,166,033.49/20,512.65
  6. Step 6: Final answer
    x = 9,709.42

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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.