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Finding the Fourth Proportional to 3,395.20, 5,093.70 and 1,203.70

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Solution

The fourth proportional to 3,395.20, 5,093.70 and 1,203.70 is: 1,805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,395.20 : 5,093.70 = 1,203.70 : x
  2. Step 2: Convert to fraction form
    3,395.20/5,093.70 = 1,203.70/x
  3. Step 3: Cross multiply
    3,395.20x = 5,093.70 × 1,203.70
  4. Step 4: Simplify right side
    3,395.20x = 6,131,286.69
  5. Step 5: Solve for x
    x = 6,131,286.69/3,395.20
  6. Step 6: Final answer
    x = 1,805.87

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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.