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Finding the Fourth Proportional to 2,138.28, 3,205.44 and 906.72

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Solution

The fourth proportional to 2,138.28, 3,205.44 and 906.72 is: 1,359.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.28 : 3,205.44 = 906.72 : x
  2. Step 2: Convert to fraction form
    2,138.28/3,205.44 = 906.72/x
  3. Step 3: Cross multiply
    2,138.28x = 3,205.44 × 906.72
  4. Step 4: Simplify right side
    2,138.28x = 2,906,436.56
  5. Step 5: Solve for x
    x = 2,906,436.56/2,138.28
  6. Step 6: Final answer
    x = 1,359.24

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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.