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Finding the Fourth Proportional to 3,891.34, 5,836.92 and 1,294.30

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Solution

The fourth proportional to 3,891.34, 5,836.92 and 1,294.30 is: 1,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.34 : 5,836.92 = 1,294.30 : x
  2. Step 2: Convert to fraction form
    3,891.34/5,836.92 = 1,294.30/x
  3. Step 3: Cross multiply
    3,891.34x = 5,836.92 × 1,294.30
  4. Step 4: Simplify right side
    3,891.34x = 7,554,725.56
  5. Step 5: Solve for x
    x = 7,554,725.56/3,891.34
  6. Step 6: Final answer
    x = 1,941.42

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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.