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Finding the Fourth Proportional to 3,149.66, 4,723.26 and 1,394.56

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Solution

The fourth proportional to 3,149.66, 4,723.26 and 1,394.56 is: 2,091.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.66 : 4,723.26 = 1,394.56 : x
  2. Step 2: Convert to fraction form
    3,149.66/4,723.26 = 1,394.56/x
  3. Step 3: Cross multiply
    3,149.66x = 4,723.26 × 1,394.56
  4. Step 4: Simplify right side
    3,149.66x = 6,586,869.47
  5. Step 5: Solve for x
    x = 6,586,869.47/3,149.66
  6. Step 6: Final answer
    x = 2,091.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.