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Finding the Fourth Proportional to 2,754.82, 4,132.49 and 905.94

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Solution

The fourth proportional to 2,754.82, 4,132.49 and 905.94 is: 1,359.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.82 : 4,132.49 = 905.94 : x
  2. Step 2: Convert to fraction form
    2,754.82/4,132.49 = 905.94/x
  3. Step 3: Cross multiply
    2,754.82x = 4,132.49 × 905.94
  4. Step 4: Simplify right side
    2,754.82x = 3,743,783.46
  5. Step 5: Solve for x
    x = 3,743,783.46/2,754.82
  6. Step 6: Final answer
    x = 1,359.00

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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.