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Finding the Fourth Proportional to 3,642, 5,464.98 and 1,450.73

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Solution

The fourth proportional to 3,642, 5,464.98 and 1,450.73 is: 2,176.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642 : 5,464.98 = 1,450.73 : x
  2. Step 2: Convert to fraction form
    3,642/5,464.98 = 1,450.73/x
  3. Step 3: Cross multiply
    3,642x = 5,464.98 × 1,450.73
  4. Step 4: Simplify right side
    3,642x = 7,928,183.11
  5. Step 5: Solve for x
    x = 7,928,183.11/3,642
  6. Step 6: Final answer
    x = 2,176.88

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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.