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Finding the Fourth Proportional to 2,096, 3,145.44 and 728

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Solution

The fourth proportional to 2,096, 3,145.44 and 728 is: 1,092.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,096 : 3,145.44 = 728 : x
  2. Step 2: Convert to fraction form
    2,096/3,145.44 = 728/x
  3. Step 3: Cross multiply
    2,096x = 3,145.44 × 728
  4. Step 4: Simplify right side
    2,096x = 2,289,880.32
  5. Step 5: Solve for x
    x = 2,289,880.32/2,096
  6. Step 6: Final answer
    x = 1,092.50

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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.