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Finding the Fourth Proportional to 3,899.69, 5,850.79 and 1,399.19

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Solution

The fourth proportional to 3,899.69, 5,850.79 and 1,399.19 is: 2,099.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.69 : 5,850.79 = 1,399.19 : x
  2. Step 2: Convert to fraction form
    3,899.69/5,850.79 = 1,399.19/x
  3. Step 3: Cross multiply
    3,899.69x = 5,850.79 × 1,399.19
  4. Step 4: Simplify right side
    3,899.69x = 8,186,366.86
  5. Step 5: Solve for x
    x = 8,186,366.86/3,899.69
  6. Step 6: Final answer
    x = 2,099.24

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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.