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Finding the Fourth Proportional to 16,822, 25,229.76 and 5,728.60

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Solution

The fourth proportional to 16,822, 25,229.76 and 5,728.60 is: 8,591.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,822 : 25,229.76 = 5,728.60 : x
  2. Step 2: Convert to fraction form
    16,822/25,229.76 = 5,728.60/x
  3. Step 3: Cross multiply
    16,822x = 25,229.76 × 5,728.60
  4. Step 4: Simplify right side
    16,822x = 144,531,203.14
  5. Step 5: Solve for x
    x = 144,531,203.14/16,822
  6. Step 6: Final answer
    x = 8,591.80

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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.