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Finding the Fourth Proportional to 20,810, 31,215 and 6,218

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Solution

The fourth proportional to 20,810, 31,215 and 6,218 is: 9,327

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,810 : 31,215 = 6,218 : x
  2. Step 2: Convert to fraction form
    20,810/31,215 = 6,218/x
  3. Step 3: Cross multiply
    20,810x = 31,215 × 6,218
  4. Step 4: Simplify right side
    20,810x = 194,094,870
  5. Step 5: Solve for x
    x = 194,094,870/20,810
  6. Step 6: Final answer
    x = 9,327

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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.