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Finding the Fourth Proportional to 3,836.44, 5,294.44 and 2,157.84

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Solution

The fourth proportional to 3,836.44, 5,294.44 and 2,157.84 is: 2,977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,836.44 : 5,294.44 = 2,157.84 : x
  2. Step 2: Convert to fraction form
    3,836.44/5,294.44 = 2,157.84/x
  3. Step 3: Cross multiply
    3,836.44x = 5,294.44 × 2,157.84
  4. Step 4: Simplify right side
    3,836.44x = 11,424,557.11
  5. Step 5: Solve for x
    x = 11,424,557.11/3,836.44
  6. Step 6: Final answer
    x = 2,977.90

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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.