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Finding the Fourth Proportional to 2,137.72, 3,205.20 and 656.44

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Solution

The fourth proportional to 2,137.72, 3,205.20 and 656.44 is: 984.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,137.72 : 3,205.20 = 656.44 : x
  2. Step 2: Convert to fraction form
    2,137.72/3,205.20 = 656.44/x
  3. Step 3: Cross multiply
    2,137.72x = 3,205.20 × 656.44
  4. Step 4: Simplify right side
    2,137.72x = 2,104,021.49
  5. Step 5: Solve for x
    x = 2,104,021.49/2,137.72
  6. Step 6: Final answer
    x = 984.24

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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.