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Finding the Fourth Proportional to 20,984, 31,476 and 6,392

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Solution

The fourth proportional to 20,984, 31,476 and 6,392 is: 9,588

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,984 : 31,476 = 6,392 : x
  2. Step 2: Convert to fraction form
    20,984/31,476 = 6,392/x
  3. Step 3: Cross multiply
    20,984x = 31,476 × 6,392
  4. Step 4: Simplify right side
    20,984x = 201,194,592
  5. Step 5: Solve for x
    x = 201,194,592/20,984
  6. Step 6: Final answer
    x = 9,588

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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.