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Finding the Fourth Proportional to 5,486.16, 8,229.80 and 2,198.80

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Solution

The fourth proportional to 5,486.16, 8,229.80 and 2,198.80 is: 3,298.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.16 : 8,229.80 = 2,198.80 : x
  2. Step 2: Convert to fraction form
    5,486.16/8,229.80 = 2,198.80/x
  3. Step 3: Cross multiply
    5,486.16x = 8,229.80 × 2,198.80
  4. Step 4: Simplify right side
    5,486.16x = 18,095,684.24
  5. Step 5: Solve for x
    x = 18,095,684.24/5,486.16
  6. Step 6: Final answer
    x = 3,298.42

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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.