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Finding the Fourth Proportional to 12,446.46, 17,175.61 and 6,781.11

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Solution

The fourth proportional to 12,446.46, 17,175.61 and 6,781.11 is: 9,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,446.46 : 17,175.61 = 6,781.11 : x
  2. Step 2: Convert to fraction form
    12,446.46/17,175.61 = 6,781.11/x
  3. Step 3: Cross multiply
    12,446.46x = 17,175.61 × 6,781.11
  4. Step 4: Simplify right side
    12,446.46x = 116,469,700.73
  5. Step 5: Solve for x
    x = 116,469,700.73/12,446.46
  6. Step 6: Final answer
    x = 9,357.66

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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.