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Finding the Fourth Proportional to 2,350, 3,246.17 and 2,183.95

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Solution

The fourth proportional to 2,350, 3,246.17 and 2,183.95 is: 3,016.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,350 : 3,246.17 = 2,183.95 : x
  2. Step 2: Convert to fraction form
    2,350/3,246.17 = 2,183.95/x
  3. Step 3: Cross multiply
    2,350x = 3,246.17 × 2,183.95
  4. Step 4: Simplify right side
    2,350x = 7,089,472.97
  5. Step 5: Solve for x
    x = 7,089,472.97/2,350
  6. Step 6: Final answer
    x = 3,016.80

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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.