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Finding the Fourth Proportional to 5,739.46, 7,919.78 and 3,221.22

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Solution

The fourth proportional to 5,739.46, 7,919.78 and 3,221.22 is: 4,444.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,739.46 : 7,919.78 = 3,221.22 : x
  2. Step 2: Convert to fraction form
    5,739.46/7,919.78 = 3,221.22/x
  3. Step 3: Cross multiply
    5,739.46x = 7,919.78 × 3,221.22
  4. Step 4: Simplify right side
    5,739.46x = 25,511,353.73
  5. Step 5: Solve for x
    x = 25,511,353.73/5,739.46
  6. Step 6: Final answer
    x = 4,444.90

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.