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Finding the Fourth Proportional to 3,183, 4,392.57 and 1,785.78

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Solution

The fourth proportional to 3,183, 4,392.57 and 1,785.78 is: 2,464.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183 : 4,392.57 = 1,785.78 : x
  2. Step 2: Convert to fraction form
    3,183/4,392.57 = 1,785.78/x
  3. Step 3: Cross multiply
    3,183x = 4,392.57 × 1,785.78
  4. Step 4: Simplify right side
    3,183x = 7,844,163.65
  5. Step 5: Solve for x
    x = 7,844,163.65/3,183
  6. Step 6: Final answer
    x = 2,464.39

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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.