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Finding the Fourth Proportional to 3,183.94, 4,775.86 and 1,722.75

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Solution

The fourth proportional to 3,183.94, 4,775.86 and 1,722.75 is: 2,584.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,183.94 : 4,775.86 = 1,722.75 : x
  2. Step 2: Convert to fraction form
    3,183.94/4,775.86 = 1,722.75/x
  3. Step 3: Cross multiply
    3,183.94x = 4,775.86 × 1,722.75
  4. Step 4: Simplify right side
    3,183.94x = 8,227,612.82
  5. Step 5: Solve for x
    x = 8,227,612.82/3,183.94
  6. Step 6: Final answer
    x = 2,584.10

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1.5x scale

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.