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Finding the Fourth Proportional to 20,816, 31,224 and 6,224

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Solution

The fourth proportional to 20,816, 31,224 and 6,224 is: 9,336

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,816 : 31,224 = 6,224 : x
  2. Step 2: Convert to fraction form
    20,816/31,224 = 6,224/x
  3. Step 3: Cross multiply
    20,816x = 31,224 × 6,224
  4. Step 4: Simplify right side
    20,816x = 194,338,176
  5. Step 5: Solve for x
    x = 194,338,176/20,816
  6. Step 6: Final answer
    x = 9,336

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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.