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Finding the Fourth Proportional to 3,803.80, 5,209.85 and 3,579.60

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Solution

The fourth proportional to 3,803.80, 5,209.85 and 3,579.60 is: 4,902.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,803.80 : 5,209.85 = 3,579.60 : x
  2. Step 2: Convert to fraction form
    3,803.80/5,209.85 = 3,579.60/x
  3. Step 3: Cross multiply
    3,803.80x = 5,209.85 × 3,579.60
  4. Step 4: Simplify right side
    3,803.80x = 18,649,179.06
  5. Step 5: Solve for x
    x = 18,649,179.06/3,803.80
  6. Step 6: Final answer
    x = 4,902.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.