Home / 3,826-5,738.19-3,099.70

Finding the Fourth Proportional to 3,826, 5,738.19 and 3,099.70

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Solution

The fourth proportional to 3,826, 5,738.19 and 3,099.70 is: 4,648.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826 : 5,738.19 = 3,099.70 : x
  2. Step 2: Convert to fraction form
    3,826/5,738.19 = 3,099.70/x
  3. Step 3: Cross multiply
    3,826x = 5,738.19 × 3,099.70
  4. Step 4: Simplify right side
    3,826x = 17,786,667.54
  5. Step 5: Solve for x
    x = 17,786,667.54/3,826
  6. Step 6: Final answer
    x = 4,648.89

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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.