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Finding the Fourth Proportional to 5,500.44, 8,251.86 and 1,605.20

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Solution

The fourth proportional to 5,500.44, 8,251.86 and 1,605.20 is: 2,408.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,500.44 : 8,251.86 = 1,605.20 : x
  2. Step 2: Convert to fraction form
    5,500.44/8,251.86 = 1,605.20/x
  3. Step 3: Cross multiply
    5,500.44x = 8,251.86 × 1,605.20
  4. Step 4: Simplify right side
    5,500.44x = 13,245,885.67
  5. Step 5: Solve for x
    x = 13,245,885.67/5,500.44
  6. Step 6: Final answer
    x = 2,408.15

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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.