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Finding the Fourth Proportional to 2,676, 4,015.62 and 1,137

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Solution

The fourth proportional to 2,676, 4,015.62 and 1,137 is: 1,706.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,676 : 4,015.62 = 1,137 : x
  2. Step 2: Convert to fraction form
    2,676/4,015.62 = 1,137/x
  3. Step 3: Cross multiply
    2,676x = 4,015.62 × 1,137
  4. Step 4: Simplify right side
    2,676x = 4,565,759.94
  5. Step 5: Solve for x
    x = 4,565,759.94/2,676
  6. Step 6: Final answer
    x = 1,706.19

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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.