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Finding the Fourth Proportional to 20,884, 31,326 and 6,292

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Solution

The fourth proportional to 20,884, 31,326 and 6,292 is: 9,438

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,884 : 31,326 = 6,292 : x
  2. Step 2: Convert to fraction form
    20,884/31,326 = 6,292/x
  3. Step 3: Cross multiply
    20,884x = 31,326 × 6,292
  4. Step 4: Simplify right side
    20,884x = 197,103,192
  5. Step 5: Solve for x
    x = 197,103,192/20,884
  6. Step 6: Final answer
    x = 9,438

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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.