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Finding the Fourth Proportional to 3,782.92, 5,220.46 and 2,211.80

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Solution

The fourth proportional to 3,782.92, 5,220.46 and 2,211.80 is: 3,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.92 : 5,220.46 = 2,211.80 : x
  2. Step 2: Convert to fraction form
    3,782.92/5,220.46 = 2,211.80/x
  3. Step 3: Cross multiply
    3,782.92x = 5,220.46 × 2,211.80
  4. Step 4: Simplify right side
    3,782.92x = 11,546,613.43
  5. Step 5: Solve for x
    x = 11,546,613.43/3,782.92
  6. Step 6: Final answer
    x = 3,052.30

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.