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Finding the Fourth Proportional to 3,282.62, 4,923.78 and 817.38

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Solution

The fourth proportional to 3,282.62, 4,923.78 and 817.38 is: 1,226.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,282.62 : 4,923.78 = 817.38 : x
  2. Step 2: Convert to fraction form
    3,282.62/4,923.78 = 817.38/x
  3. Step 3: Cross multiply
    3,282.62x = 4,923.78 × 817.38
  4. Step 4: Simplify right side
    3,282.62x = 4,024,599.30
  5. Step 5: Solve for x
    x = 4,024,599.30/3,282.62
  6. Step 6: Final answer
    x = 1,226.03

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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.