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Finding the Fourth Proportional to 3,399.72, 5,099.81 and 1,207.86

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Solution

The fourth proportional to 3,399.72, 5,099.81 and 1,207.86 is: 1,811.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399.72 : 5,099.81 = 1,207.86 : x
  2. Step 2: Convert to fraction form
    3,399.72/5,099.81 = 1,207.86/x
  3. Step 3: Cross multiply
    3,399.72x = 5,099.81 × 1,207.86
  4. Step 4: Simplify right side
    3,399.72x = 6,159,866.82
  5. Step 5: Solve for x
    x = 6,159,866.82/3,399.72
  6. Step 6: Final answer
    x = 1,811.87

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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.