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Finding the Fourth Proportional to 6,647.46, 9,969.67 and 1,967.82

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Solution

The fourth proportional to 6,647.46, 9,969.67 and 1,967.82 is: 2,951.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.46 : 9,969.67 = 1,967.82 : x
  2. Step 2: Convert to fraction form
    6,647.46/9,969.67 = 1,967.82/x
  3. Step 3: Cross multiply
    6,647.46x = 9,969.67 × 1,967.82
  4. Step 4: Simplify right side
    6,647.46x = 19,618,516.02
  5. Step 5: Solve for x
    x = 19,618,516.02/6,647.46
  6. Step 6: Final answer
    x = 2,951.28

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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.