Home / 3,904.20-5,847-2,257.28

Finding the Fourth Proportional to 3,904.20, 5,847 and 2,257.28

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Solution

The fourth proportional to 3,904.20, 5,847 and 2,257.28 is: 3,380.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,904.20 : 5,847 = 2,257.28 : x
  2. Step 2: Convert to fraction form
    3,904.20/5,847 = 2,257.28/x
  3. Step 3: Cross multiply
    3,904.20x = 5,847 × 2,257.28
  4. Step 4: Simplify right side
    3,904.20x = 13,198,316.16
  5. Step 5: Solve for x
    x = 13,198,316.16/3,904.20
  6. Step 6: Final answer
    x = 3,380.54

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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.