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Finding the Fourth Proportional to 3,993.32, 5,990 and 1,912.84

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Solution

The fourth proportional to 3,993.32, 5,990 and 1,912.84 is: 2,869.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,993.32 : 5,990 = 1,912.84 : x
  2. Step 2: Convert to fraction form
    3,993.32/5,990 = 1,912.84/x
  3. Step 3: Cross multiply
    3,993.32x = 5,990 × 1,912.84
  4. Step 4: Simplify right side
    3,993.32x = 11,457,911.60
  5. Step 5: Solve for x
    x = 11,457,911.60/3,993.32
  6. Step 6: Final answer
    x = 2,869.27

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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.