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Finding the Fourth Proportional to 3,818.70, 5,728.05 and 3,211.20

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Solution

The fourth proportional to 3,818.70, 5,728.05 and 3,211.20 is: 4,816.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,818.70 : 5,728.05 = 3,211.20 : x
  2. Step 2: Convert to fraction form
    3,818.70/5,728.05 = 3,211.20/x
  3. Step 3: Cross multiply
    3,818.70x = 5,728.05 × 3,211.20
  4. Step 4: Simplify right side
    3,818.70x = 18,393,914.16
  5. Step 5: Solve for x
    x = 18,393,914.16/3,818.70
  6. Step 6: Final answer
    x = 4,816.80

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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.