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Finding the Fourth Proportional to 3,699.38, 5,109 and 3,199.62

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Solution

The fourth proportional to 3,699.38, 5,109 and 3,199.62 is: 4,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,699.38 : 5,109 = 3,199.62 : x
  2. Step 2: Convert to fraction form
    3,699.38/5,109 = 3,199.62/x
  3. Step 3: Cross multiply
    3,699.38x = 5,109 × 3,199.62
  4. Step 4: Simplify right side
    3,699.38x = 16,346,858.58
  5. Step 5: Solve for x
    x = 16,346,858.58/3,699.38
  6. Step 6: Final answer
    x = 4,418.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.