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Finding the Fourth Proportional to 2,077, 2,863.07 and 1,367.62

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Solution

The fourth proportional to 2,077, 2,863.07 and 1,367.62 is: 1,885.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,077 : 2,863.07 = 1,367.62 : x
  2. Step 2: Convert to fraction form
    2,077/2,863.07 = 1,367.62/x
  3. Step 3: Cross multiply
    2,077x = 2,863.07 × 1,367.62
  4. Step 4: Simplify right side
    2,077x = 3,915,584.96
  5. Step 5: Solve for x
    x = 3,915,584.96/2,077
  6. Step 6: Final answer
    x = 1,885.21

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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.