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Finding the Fourth Proportional to 3,850.40, 5,771.03 and 1,768.64

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Solution

The fourth proportional to 3,850.40, 5,771.03 and 1,768.64 is: 2,650.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.40 : 5,771.03 = 1,768.64 : x
  2. Step 2: Convert to fraction form
    3,850.40/5,771.03 = 1,768.64/x
  3. Step 3: Cross multiply
    3,850.40x = 5,771.03 × 1,768.64
  4. Step 4: Simplify right side
    3,850.40x = 10,206,865.66
  5. Step 5: Solve for x
    x = 10,206,865.66/3,850.40
  6. Step 6: Final answer
    x = 2,650.86

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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.