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Finding the Fourth Proportional to 5,344.92, 8,019 and 2,226.42

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Solution

The fourth proportional to 5,344.92, 8,019 and 2,226.42 is: 3,340.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,344.92 : 8,019 = 2,226.42 : x
  2. Step 2: Convert to fraction form
    5,344.92/8,019 = 2,226.42/x
  3. Step 3: Cross multiply
    5,344.92x = 8,019 × 2,226.42
  4. Step 4: Simplify right side
    5,344.92x = 17,853,661.98
  5. Step 5: Solve for x
    x = 17,853,661.98/5,344.92
  6. Step 6: Final answer
    x = 3,340.30

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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.