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Finding the Fourth Proportional to 21,878.26, 32,821.72 and 8,027.38

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Solution

The fourth proportional to 21,878.26, 32,821.72 and 8,027.38 is: 12,042.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,878.26 : 32,821.72 = 8,027.38 : x
  2. Step 2: Convert to fraction form
    21,878.26/32,821.72 = 8,027.38/x
  3. Step 3: Cross multiply
    21,878.26x = 32,821.72 × 8,027.38
  4. Step 4: Simplify right side
    21,878.26x = 263,472,418.69
  5. Step 5: Solve for x
    x = 263,472,418.69/21,878.26
  6. Step 6: Final answer
    x = 12,042.66

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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.