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Finding the Fourth Proportional to 1,936.31, 2,672.11 and 1,052.11

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Solution

The fourth proportional to 1,936.31, 2,672.11 and 1,052.11 is: 1,451.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.31 : 2,672.11 = 1,052.11 : x
  2. Step 2: Convert to fraction form
    1,936.31/2,672.11 = 1,052.11/x
  3. Step 3: Cross multiply
    1,936.31x = 2,672.11 × 1,052.11
  4. Step 4: Simplify right side
    1,936.31x = 2,811,335.03
  5. Step 5: Solve for x
    x = 2,811,335.03/1,936.31
  6. Step 6: Final answer
    x = 1,451.91

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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.