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Finding the Fourth Proportional to 5,481.44, 8,222 and 2,193.60

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Solution

The fourth proportional to 5,481.44, 8,222 and 2,193.60 is: 3,290.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.44 : 8,222 = 2,193.60 : x
  2. Step 2: Convert to fraction form
    5,481.44/8,222 = 2,193.60/x
  3. Step 3: Cross multiply
    5,481.44x = 8,222 × 2,193.60
  4. Step 4: Simplify right side
    5,481.44x = 18,035,779.20
  5. Step 5: Solve for x
    x = 18,035,779.20/5,481.44
  6. Step 6: Final answer
    x = 3,290.34

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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.