Home / 2,092.54-3,138.52-1,157.21

Finding the Fourth Proportional to 2,092.54, 3,138.52 and 1,157.21

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Solution

The fourth proportional to 2,092.54, 3,138.52 and 1,157.21 is: 1,735.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092.54 : 3,138.52 = 1,157.21 : x
  2. Step 2: Convert to fraction form
    2,092.54/3,138.52 = 1,157.21/x
  3. Step 3: Cross multiply
    2,092.54x = 3,138.52 × 1,157.21
  4. Step 4: Simplify right side
    2,092.54x = 3,631,926.73
  5. Step 5: Solve for x
    x = 3,631,926.73/2,092.54
  6. Step 6: Final answer
    x = 1,735.65

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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.