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Finding the Fourth Proportional to 2,093.45, 3,138.12 and 1,169.79

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Solution

The fourth proportional to 2,093.45, 3,138.12 and 1,169.79 is: 1,753.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,093.45 : 3,138.12 = 1,169.79 : x
  2. Step 2: Convert to fraction form
    2,093.45/3,138.12 = 1,169.79/x
  3. Step 3: Cross multiply
    2,093.45x = 3,138.12 × 1,169.79
  4. Step 4: Simplify right side
    2,093.45x = 3,670,941.39
  5. Step 5: Solve for x
    x = 3,670,941.39/2,093.45
  6. Step 6: Final answer
    x = 1,753.54

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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.