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Finding the Fourth Proportional to 1,991.31, 2,748.00 and 1,107.12

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Solution

The fourth proportional to 1,991.31, 2,748.00 and 1,107.12 is: 1,527.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.31 : 2,748.00 = 1,107.12 : x
  2. Step 2: Convert to fraction form
    1,991.31/2,748.00 = 1,107.12/x
  3. Step 3: Cross multiply
    1,991.31x = 2,748.00 × 1,107.12
  4. Step 4: Simplify right side
    1,991.31x = 3,042,361.65
  5. Step 5: Solve for x
    x = 3,042,361.65/1,991.31
  6. Step 6: Final answer
    x = 1,527.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.