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Finding the Fourth Proportional to 6,640.60, 9,947.82 and 3,709.96

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Solution

The fourth proportional to 6,640.60, 9,947.82 and 3,709.96 is: 5,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,640.60 : 9,947.82 = 3,709.96 : x
  2. Step 2: Convert to fraction form
    6,640.60/9,947.82 = 3,709.96/x
  3. Step 3: Cross multiply
    6,640.60x = 9,947.82 × 3,709.96
  4. Step 4: Simplify right side
    6,640.60x = 36,906,014.29
  5. Step 5: Solve for x
    x = 36,906,014.29/6,640.60
  6. Step 6: Final answer
    x = 5,557.63

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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.