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Finding the Fourth Proportional to 20,808, 31,212 and 6,216

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Solution

The fourth proportional to 20,808, 31,212 and 6,216 is: 9,324

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,808 : 31,212 = 6,216 : x
  2. Step 2: Convert to fraction form
    20,808/31,212 = 6,216/x
  3. Step 3: Cross multiply
    20,808x = 31,212 × 6,216
  4. Step 4: Simplify right side
    20,808x = 194,013,792
  5. Step 5: Solve for x
    x = 194,013,792/20,808
  6. Step 6: Final answer
    x = 9,324

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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.