Home / 3,778.20-5,214-2,285.82

Finding the Fourth Proportional to 3,778.20, 5,214 and 2,285.82

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Solution

The fourth proportional to 3,778.20, 5,214 and 2,285.82 is: 3,154.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.20 : 5,214 = 2,285.82 : x
  2. Step 2: Convert to fraction form
    3,778.20/5,214 = 2,285.82/x
  3. Step 3: Cross multiply
    3,778.20x = 5,214 × 2,285.82
  4. Step 4: Simplify right side
    3,778.20x = 11,918,265.48
  5. Step 5: Solve for x
    x = 11,918,265.48/3,778.20
  6. Step 6: Final answer
    x = 3,154.48

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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.