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Finding the Fourth Proportional to 21,872.70, 32,823.09 and 8,556.30

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Solution

The fourth proportional to 21,872.70, 32,823.09 and 8,556.30 is: 12,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.70 : 32,823.09 = 8,556.30 : x
  2. Step 2: Convert to fraction form
    21,872.70/32,823.09 = 8,556.30/x
  3. Step 3: Cross multiply
    21,872.70x = 32,823.09 × 8,556.30
  4. Step 4: Simplify right side
    21,872.70x = 280,844,204.97
  5. Step 5: Solve for x
    x = 280,844,204.97/21,872.70
  6. Step 6: Final answer
    x = 12,839.94

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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.