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Finding the Fourth Proportional to 12,022.30, 16,591.12 and 6,717.47

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Solution

The fourth proportional to 12,022.30, 16,591.12 and 6,717.47 is: 9,270.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,022.30 : 16,591.12 = 6,717.47 : x
  2. Step 2: Convert to fraction form
    12,022.30/16,591.12 = 6,717.47/x
  3. Step 3: Cross multiply
    12,022.30x = 16,591.12 × 6,717.47
  4. Step 4: Simplify right side
    12,022.30x = 111,450,375.55
  5. Step 5: Solve for x
    x = 111,450,375.55/12,022.30
  6. Step 6: Final answer
    x = 9,270.31

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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.