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Finding the Fourth Proportional to 12,654.91, 17,463.46 and 6,912.14

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Solution

The fourth proportional to 12,654.91, 17,463.46 and 6,912.14 is: 9,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,654.91 : 17,463.46 = 6,912.14 : x
  2. Step 2: Convert to fraction form
    12,654.91/17,463.46 = 6,912.14/x
  3. Step 3: Cross multiply
    12,654.91x = 17,463.46 × 6,912.14
  4. Step 4: Simplify right side
    12,654.91x = 120,709,798.49
  5. Step 5: Solve for x
    x = 120,709,798.49/12,654.91
  6. Step 6: Final answer
    x = 9,538.58

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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.