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Finding the Fourth Proportional to 2,662.95, 3,986.19 and 2,138.07

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Solution

The fourth proportional to 2,662.95, 3,986.19 and 2,138.07 is: 3,200.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,662.95 : 3,986.19 = 2,138.07 : x
  2. Step 2: Convert to fraction form
    2,662.95/3,986.19 = 2,138.07/x
  3. Step 3: Cross multiply
    2,662.95x = 3,986.19 × 2,138.07
  4. Step 4: Simplify right side
    2,662.95x = 8,522,753.25
  5. Step 5: Solve for x
    x = 8,522,753.25/2,662.95
  6. Step 6: Final answer
    x = 3,200.49

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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.