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Finding the Fourth Proportional to 21,732.58, 32,577 and 8,579.80

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Solution

The fourth proportional to 21,732.58, 32,577 and 8,579.80 is: 12,861.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,732.58 : 32,577 = 8,579.80 : x
  2. Step 2: Convert to fraction form
    21,732.58/32,577 = 8,579.80/x
  3. Step 3: Cross multiply
    21,732.58x = 32,577 × 8,579.80
  4. Step 4: Simplify right side
    21,732.58x = 279,504,144.60
  5. Step 5: Solve for x
    x = 279,504,144.60/21,732.58
  6. Step 6: Final answer
    x = 12,861.07

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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.