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Finding the Fourth Proportional to 3,149.63, 4,724.34 and 1,691.63

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Solution

The fourth proportional to 3,149.63, 4,724.34 and 1,691.63 is: 2,537.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,149.63 : 4,724.34 = 1,691.63 : x
  2. Step 2: Convert to fraction form
    3,149.63/4,724.34 = 1,691.63/x
  3. Step 3: Cross multiply
    3,149.63x = 4,724.34 × 1,691.63
  4. Step 4: Simplify right side
    3,149.63x = 7,991,835.27
  5. Step 5: Solve for x
    x = 7,991,835.27/3,149.63
  6. Step 6: Final answer
    x = 2,537.39

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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.