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Finding the Fourth Proportional to 2,136.49, 3,204.77 and 820.85

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Solution

The fourth proportional to 2,136.49, 3,204.77 and 820.85 is: 1,231.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,136.49 : 3,204.77 = 820.85 : x
  2. Step 2: Convert to fraction form
    2,136.49/3,204.77 = 820.85/x
  3. Step 3: Cross multiply
    2,136.49x = 3,204.77 × 820.85
  4. Step 4: Simplify right side
    2,136.49x = 2,630,615.33
  5. Step 5: Solve for x
    x = 2,630,615.33/2,136.49
  6. Step 6: Final answer
    x = 1,231.28

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1.5x scale

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.