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Finding the Fourth Proportional to 3,286.68, 4,923.15 and 1,638.21

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Solution

The fourth proportional to 3,286.68, 4,923.15 and 1,638.21 is: 2,453.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.68 : 4,923.15 = 1,638.21 : x
  2. Step 2: Convert to fraction form
    3,286.68/4,923.15 = 1,638.21/x
  3. Step 3: Cross multiply
    3,286.68x = 4,923.15 × 1,638.21
  4. Step 4: Simplify right side
    3,286.68x = 8,065,153.56
  5. Step 5: Solve for x
    x = 8,065,153.56/3,286.68
  6. Step 6: Final answer
    x = 2,453.89

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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.