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Finding the Fourth Proportional to 6,651.65, 9,976.43 and 3,984.73

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Solution

The fourth proportional to 6,651.65, 9,976.43 and 3,984.73 is: 5,976.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,651.65 : 9,976.43 = 3,984.73 : x
  2. Step 2: Convert to fraction form
    6,651.65/9,976.43 = 3,984.73/x
  3. Step 3: Cross multiply
    6,651.65x = 9,976.43 × 3,984.73
  4. Step 4: Simplify right side
    6,651.65x = 39,753,330.03
  5. Step 5: Solve for x
    x = 39,753,330.03/6,651.65
  6. Step 6: Final answer
    x = 5,976.46

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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.