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Finding the Fourth Proportional to 3,662.45, 5,493.62 and 889.15

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Solution

The fourth proportional to 3,662.45, 5,493.62 and 889.15 is: 1,333.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.45 : 5,493.62 = 889.15 : x
  2. Step 2: Convert to fraction form
    3,662.45/5,493.62 = 889.15/x
  3. Step 3: Cross multiply
    3,662.45x = 5,493.62 × 889.15
  4. Step 4: Simplify right side
    3,662.45x = 4,884,624.75
  5. Step 5: Solve for x
    x = 4,884,624.75/3,662.45
  6. Step 6: Final answer
    x = 1,333.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.