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Finding the Fourth Proportional to 3,662.92, 5,493.61 and 1,291.32

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Solution

The fourth proportional to 3,662.92, 5,493.61 and 1,291.32 is: 1,936.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.92 : 5,493.61 = 1,291.32 : x
  2. Step 2: Convert to fraction form
    3,662.92/5,493.61 = 1,291.32/x
  3. Step 3: Cross multiply
    3,662.92x = 5,493.61 × 1,291.32
  4. Step 4: Simplify right side
    3,662.92x = 7,094,008.47
  5. Step 5: Solve for x
    x = 7,094,008.47/3,662.92
  6. Step 6: Final answer
    x = 1,936.71

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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.