Home / 4,105-6,157.38-1,183.30

Finding the Fourth Proportional to 4,105, 6,157.38 and 1,183.30

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Solution

The fourth proportional to 4,105, 6,157.38 and 1,183.30 is: 1,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,105 : 6,157.38 = 1,183.30 : x
  2. Step 2: Convert to fraction form
    4,105/6,157.38 = 1,183.30/x
  3. Step 3: Cross multiply
    4,105x = 6,157.38 × 1,183.30
  4. Step 4: Simplify right side
    4,105x = 7,286,027.75
  5. Step 5: Solve for x
    x = 7,286,027.75/4,105
  6. Step 6: Final answer
    x = 1,774.92

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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.