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Finding the Fourth Proportional to 6,650.31, 9,956.13 and 3,868.50

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Solution

The fourth proportional to 6,650.31, 9,956.13 and 3,868.50 is: 5,791.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,650.31 : 9,956.13 = 3,868.50 : x
  2. Step 2: Convert to fraction form
    6,650.31/9,956.13 = 3,868.50/x
  3. Step 3: Cross multiply
    6,650.31x = 9,956.13 × 3,868.50
  4. Step 4: Simplify right side
    6,650.31x = 38,515,288.91
  5. Step 5: Solve for x
    x = 38,515,288.91/6,650.31
  6. Step 6: Final answer
    x = 5,791.50

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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.