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Finding the Fourth Proportional to 3,896.54, 5,835.50 and 2,138.84

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Solution

The fourth proportional to 3,896.54, 5,835.50 and 2,138.84 is: 3,203.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,896.54 : 5,835.50 = 2,138.84 : x
  2. Step 2: Convert to fraction form
    3,896.54/5,835.50 = 2,138.84/x
  3. Step 3: Cross multiply
    3,896.54x = 5,835.50 × 2,138.84
  4. Step 4: Simplify right side
    3,896.54x = 12,481,190.13
  5. Step 5: Solve for x
    x = 12,481,190.13/3,896.54
  6. Step 6: Final answer
    x = 3,203.15

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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.