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Finding the Fourth Proportional to 6,650.38, 9,976.65 and 3,187.63

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Solution

The fourth proportional to 6,650.38, 9,976.65 and 3,187.63 is: 4,781.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.38 : 9,976.65 = 3,187.63 : x
  2. Step 2: Convert to fraction form
    6,650.38/9,976.65 = 3,187.63/x
  3. Step 3: Cross multiply
    6,650.38x = 9,976.65 × 3,187.63
  4. Step 4: Simplify right side
    6,650.38x = 31,801,868.84
  5. Step 5: Solve for x
    x = 31,801,868.84/6,650.38
  6. Step 6: Final answer
    x = 4,781.96

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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.