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Finding the Fourth Proportional to 5,505, 8,251.20 and 2,216

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Solution

The fourth proportional to 5,505, 8,251.20 and 2,216 is: 3,321.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,505 : 8,251.20 = 2,216 : x
  2. Step 2: Convert to fraction form
    5,505/8,251.20 = 2,216/x
  3. Step 3: Cross multiply
    5,505x = 8,251.20 × 2,216
  4. Step 4: Simplify right side
    5,505x = 18,284,659.20
  5. Step 5: Solve for x
    x = 18,284,659.20/5,505
  6. Step 6: Final answer
    x = 3,321.46

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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.