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Finding the Fourth Proportional to 2,136.78, 3,206.46 and 820.62

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Solution

The fourth proportional to 2,136.78, 3,206.46 and 820.62 is: 1,231.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.78 : 3,206.46 = 820.62 : x
  2. Step 2: Convert to fraction form
    2,136.78/3,206.46 = 820.62/x
  3. Step 3: Cross multiply
    2,136.78x = 3,206.46 × 820.62
  4. Step 4: Simplify right side
    2,136.78x = 2,631,285.21
  5. Step 5: Solve for x
    x = 2,631,285.21/2,136.78
  6. Step 6: Final answer
    x = 1,231.43

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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.