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Finding the Fourth Proportional to 1,936.42, 2,672.15 and 1,052.22

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Solution

The fourth proportional to 1,936.42, 2,672.15 and 1,052.22 is: 1,452.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,936.42 : 2,672.15 = 1,052.22 : x
  2. Step 2: Convert to fraction form
    1,936.42/2,672.15 = 1,052.22/x
  3. Step 3: Cross multiply
    1,936.42x = 2,672.15 × 1,052.22
  4. Step 4: Simplify right side
    1,936.42x = 2,811,676.31
  5. Step 5: Solve for x
    x = 2,811,676.31/1,936.42
  6. Step 6: Final answer
    x = 1,452.00

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