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Finding the Fourth Proportional to 3,849.50, 5,770.20 and 2,750.60

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Solution

The fourth proportional to 3,849.50, 5,770.20 and 2,750.60 is: 4,123.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,849.50 : 5,770.20 = 2,750.60 : x
  2. Step 2: Convert to fraction form
    3,849.50/5,770.20 = 2,750.60/x
  3. Step 3: Cross multiply
    3,849.50x = 5,770.20 × 2,750.60
  4. Step 4: Simplify right side
    3,849.50x = 15,871,512.12
  5. Step 5: Solve for x
    x = 15,871,512.12/3,849.50
  6. Step 6: Final answer
    x = 4,123.01

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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.