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Finding the Fourth Proportional to 21,912.38, 32,855.41 and 8,569.48

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Solution

The fourth proportional to 21,912.38, 32,855.41 and 8,569.48 is: 12,849.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,912.38 : 32,855.41 = 8,569.48 : x
  2. Step 2: Convert to fraction form
    21,912.38/32,855.41 = 8,569.48/x
  3. Step 3: Cross multiply
    21,912.38x = 32,855.41 × 8,569.48
  4. Step 4: Simplify right side
    21,912.38x = 281,553,736.04
  5. Step 5: Solve for x
    x = 281,553,736.04/21,912.38
  6. Step 6: Final answer
    x = 12,849.07

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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.