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Finding the Fourth Proportional to 21,728.58, 32,589.09 and 8,584.80

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Solution

The fourth proportional to 21,728.58, 32,589.09 and 8,584.80 is: 12,875.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,728.58 : 32,589.09 = 8,584.80 : x
  2. Step 2: Convert to fraction form
    21,728.58/32,589.09 = 8,584.80/x
  3. Step 3: Cross multiply
    21,728.58x = 32,589.09 × 8,584.80
  4. Step 4: Simplify right side
    21,728.58x = 279,770,819.83
  5. Step 5: Solve for x
    x = 279,770,819.83/21,728.58
  6. Step 6: Final answer
    x = 12,875.71

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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.