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Finding the Fourth Proportional to 3,149.63, 4,722.87 and 1,833.82

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Solution

The fourth proportional to 3,149.63, 4,722.87 and 1,833.82 is: 2,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.63 : 4,722.87 = 1,833.82 : x
  2. Step 2: Convert to fraction form
    3,149.63/4,722.87 = 1,833.82/x
  3. Step 3: Cross multiply
    3,149.63x = 4,722.87 × 1,833.82
  4. Step 4: Simplify right side
    3,149.63x = 8,660,869.85
  5. Step 5: Solve for x
    x = 8,660,869.85/3,149.63
  6. Step 6: Final answer
    x = 2,749.81

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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.