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Finding the Fourth Proportional to 9,176.97, 12,664.27 and 5,198.86

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Solution

The fourth proportional to 9,176.97, 12,664.27 and 5,198.86 is: 7,174.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,176.97 : 12,664.27 = 5,198.86 : x
  2. Step 2: Convert to fraction form
    9,176.97/12,664.27 = 5,198.86/x
  3. Step 3: Cross multiply
    9,176.97x = 12,664.27 × 5,198.86
  4. Step 4: Simplify right side
    9,176.97x = 65,839,789.06
  5. Step 5: Solve for x
    x = 65,839,789.06/9,176.97
  6. Step 6: Final answer
    x = 7,174.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.