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Finding the Fourth Proportional to 3,852.70, 5,777.22 and 1,902.63

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Solution

The fourth proportional to 3,852.70, 5,777.22 and 1,902.63 is: 2,853.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,852.70 : 5,777.22 = 1,902.63 : x
  2. Step 2: Convert to fraction form
    3,852.70/5,777.22 = 1,902.63/x
  3. Step 3: Cross multiply
    3,852.70x = 5,777.22 × 1,902.63
  4. Step 4: Simplify right side
    3,852.70x = 10,991,912.09
  5. Step 5: Solve for x
    x = 10,991,912.09/3,852.70
  6. Step 6: Final answer
    x = 2,853.04

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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.