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Finding the Fourth Proportional to 3,163.62, 4,366.02 and 1,984.50

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Solution

The fourth proportional to 3,163.62, 4,366.02 and 1,984.50 is: 2,738.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.62 : 4,366.02 = 1,984.50 : x
  2. Step 2: Convert to fraction form
    3,163.62/4,366.02 = 1,984.50/x
  3. Step 3: Cross multiply
    3,163.62x = 4,366.02 × 1,984.50
  4. Step 4: Simplify right side
    3,163.62x = 8,664,366.69
  5. Step 5: Solve for x
    x = 8,664,366.69/3,163.62
  6. Step 6: Final answer
    x = 2,738.75

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1.5x scale

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.