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Finding the Fourth Proportional to 5,455.42, 8,183.04 and 1,351.42

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Solution

The fourth proportional to 5,455.42, 8,183.04 and 1,351.42 is: 2,027.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,455.42 : 8,183.04 = 1,351.42 : x
  2. Step 2: Convert to fraction form
    5,455.42/8,183.04 = 1,351.42/x
  3. Step 3: Cross multiply
    5,455.42x = 8,183.04 × 1,351.42
  4. Step 4: Simplify right side
    5,455.42x = 11,058,723.92
  5. Step 5: Solve for x
    x = 11,058,723.92/5,455.42
  6. Step 6: Final answer
    x = 2,027.11

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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.