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Finding the Fourth Proportional to 2,190.66, 3,287.25 and 892.14

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Solution

The fourth proportional to 2,190.66, 3,287.25 and 892.14 is: 1,338.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,190.66 : 3,287.25 = 892.14 : x
  2. Step 2: Convert to fraction form
    2,190.66/3,287.25 = 892.14/x
  3. Step 3: Cross multiply
    2,190.66x = 3,287.25 × 892.14
  4. Step 4: Simplify right side
    2,190.66x = 2,932,687.22
  5. Step 5: Solve for x
    x = 2,932,687.22/2,190.66
  6. Step 6: Final answer
    x = 1,338.72

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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.