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Finding the Fourth Proportional to 3,800, 5,699.82 and 1,202.60

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Solution

The fourth proportional to 3,800, 5,699.82 and 1,202.60 is: 1,803.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,800 : 5,699.82 = 1,202.60 : x
  2. Step 2: Convert to fraction form
    3,800/5,699.82 = 1,202.60/x
  3. Step 3: Cross multiply
    3,800x = 5,699.82 × 1,202.60
  4. Step 4: Simplify right side
    3,800x = 6,854,603.53
  5. Step 5: Solve for x
    x = 6,854,603.53/3,800
  6. Step 6: Final answer
    x = 1,803.84

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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.