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Finding the Fourth Proportional to 6,823, 10,234.50 and 2,206

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Solution

The fourth proportional to 6,823, 10,234.50 and 2,206 is: 3,309

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823 : 10,234.50 = 2,206 : x
  2. Step 2: Convert to fraction form
    6,823/10,234.50 = 2,206/x
  3. Step 3: Cross multiply
    6,823x = 10,234.50 × 2,206
  4. Step 4: Simplify right side
    6,823x = 22,577,307
  5. Step 5: Solve for x
    x = 22,577,307/6,823
  6. Step 6: Final answer
    x = 3,309

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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.