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Finding the Fourth Proportional to 2,136.70, 3,202.84 and 820.10

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Solution

The fourth proportional to 2,136.70, 3,202.84 and 820.10 is: 1,229.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.70 : 3,202.84 = 820.10 : x
  2. Step 2: Convert to fraction form
    2,136.70/3,202.84 = 820.10/x
  3. Step 3: Cross multiply
    2,136.70x = 3,202.84 × 820.10
  4. Step 4: Simplify right side
    2,136.70x = 2,626,658.12
  5. Step 5: Solve for x
    x = 2,626,658.12/2,136.70
  6. Step 6: Final answer
    x = 1,229.31

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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.