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Finding the Fourth Proportional to 22,797, 34,197.42 and 6,381

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Solution

The fourth proportional to 22,797, 34,197.42 and 6,381 is: 9,572.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,797 : 34,197.42 = 6,381 : x
  2. Step 2: Convert to fraction form
    22,797/34,197.42 = 6,381/x
  3. Step 3: Cross multiply
    22,797x = 34,197.42 × 6,381
  4. Step 4: Simplify right side
    22,797x = 218,213,737.02
  5. Step 5: Solve for x
    x = 218,213,737.02/22,797
  6. Step 6: Final answer
    x = 9,572.04

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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.