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Finding the Fourth Proportional to 21,872.26, 32,812.71 and 8,021.38

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Solution

The fourth proportional to 21,872.26, 32,812.71 and 8,021.38 is: 12,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.26 : 32,812.71 = 8,021.38 : x
  2. Step 2: Convert to fraction form
    21,872.26/32,812.71 = 8,021.38/x
  3. Step 3: Cross multiply
    21,872.26x = 32,812.71 × 8,021.38
  4. Step 4: Simplify right side
    21,872.26x = 263,203,215.74
  5. Step 5: Solve for x
    x = 263,203,215.74/21,872.26
  6. Step 6: Final answer
    x = 12,033.65

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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.