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Finding the Fourth Proportional to 2,683.56, 3,691.26 and 2,289.90

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Solution

The fourth proportional to 2,683.56, 3,691.26 and 2,289.90 is: 3,149.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,683.56 : 3,691.26 = 2,289.90 : x
  2. Step 2: Convert to fraction form
    2,683.56/3,691.26 = 2,289.90/x
  3. Step 3: Cross multiply
    2,683.56x = 3,691.26 × 2,289.90
  4. Step 4: Simplify right side
    2,683.56x = 8,452,616.27
  5. Step 5: Solve for x
    x = 8,452,616.27/2,683.56
  6. Step 6: Final answer
    x = 3,149.78

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1.5x scale

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.