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Finding the Fourth Proportional to 3,679.36, 5,519.20 and 2,214

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Solution

The fourth proportional to 3,679.36, 5,519.20 and 2,214 is: 3,321.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.36 : 5,519.20 = 2,214 : x
  2. Step 2: Convert to fraction form
    3,679.36/5,519.20 = 2,214/x
  3. Step 3: Cross multiply
    3,679.36x = 5,519.20 × 2,214
  4. Step 4: Simplify right side
    3,679.36x = 12,219,508.80
  5. Step 5: Solve for x
    x = 12,219,508.80/3,679.36
  6. Step 6: Final answer
    x = 3,321.10

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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.