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Finding the Fourth Proportional to 7,137.87, 10,709.88 and 2,758.41

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Solution

The fourth proportional to 7,137.87, 10,709.88 and 2,758.41 is: 4,138.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.87 : 10,709.88 = 2,758.41 : x
  2. Step 2: Convert to fraction form
    7,137.87/10,709.88 = 2,758.41/x
  3. Step 3: Cross multiply
    7,137.87x = 10,709.88 × 2,758.41
  4. Step 4: Simplify right side
    7,137.87x = 29,542,240.09
  5. Step 5: Solve for x
    x = 29,542,240.09/7,137.87
  6. Step 6: Final answer
    x = 4,138.80

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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.