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Finding the Fourth Proportional to 3,912.91, 5,869.46 and 1,139.67

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Solution

The fourth proportional to 3,912.91, 5,869.46 and 1,139.67 is: 1,709.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,912.91 : 5,869.46 = 1,139.67 : x
  2. Step 2: Convert to fraction form
    3,912.91/5,869.46 = 1,139.67/x
  3. Step 3: Cross multiply
    3,912.91x = 5,869.46 × 1,139.67
  4. Step 4: Simplify right side
    3,912.91x = 6,689,250.33
  5. Step 5: Solve for x
    x = 6,689,250.33/3,912.91
  6. Step 6: Final answer
    x = 1,709.53

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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.