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Finding the Fourth Proportional to 6,601.87, 9,896.13 and 4,138.41

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Solution

The fourth proportional to 6,601.87, 9,896.13 and 4,138.41 is: 6,203.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.87 : 9,896.13 = 4,138.41 : x
  2. Step 2: Convert to fraction form
    6,601.87/9,896.13 = 4,138.41/x
  3. Step 3: Cross multiply
    6,601.87x = 9,896.13 × 4,138.41
  4. Step 4: Simplify right side
    6,601.87x = 40,954,295.98
  5. Step 5: Solve for x
    x = 40,954,295.98/6,601.87
  6. Step 6: Final answer
    x = 6,203.44

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1.5x scale

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.