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Finding the Fourth Proportional to 20,838, 31,257 and 6,246

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Solution

The fourth proportional to 20,838, 31,257 and 6,246 is: 9,369

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,838 : 31,257 = 6,246 : x
  2. Step 2: Convert to fraction form
    20,838/31,257 = 6,246/x
  3. Step 3: Cross multiply
    20,838x = 31,257 × 6,246
  4. Step 4: Simplify right side
    20,838x = 195,231,222
  5. Step 5: Solve for x
    x = 195,231,222/20,838
  6. Step 6: Final answer
    x = 9,369

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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.