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Finding the Fourth Proportional to 5,912.69, 8,869.49 and 3,447.76

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Solution

The fourth proportional to 5,912.69, 8,869.49 and 3,447.76 is: 5,171.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,912.69 : 8,869.49 = 3,447.76 : x
  2. Step 2: Convert to fraction form
    5,912.69/8,869.49 = 3,447.76/x
  3. Step 3: Cross multiply
    5,912.69x = 8,869.49 × 3,447.76
  4. Step 4: Simplify right side
    5,912.69x = 30,579,872.84
  5. Step 5: Solve for x
    x = 30,579,872.84/5,912.69
  6. Step 6: Final answer
    x = 5,171.91

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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.