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Finding the Fourth Proportional to 12,206.69, 16,845.23 and 6,617.69

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Solution

The fourth proportional to 12,206.69, 16,845.23 and 6,617.69 is: 9,132.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206.69 : 16,845.23 = 6,617.69 : x
  2. Step 2: Convert to fraction form
    12,206.69/16,845.23 = 6,617.69/x
  3. Step 3: Cross multiply
    12,206.69x = 16,845.23 × 6,617.69
  4. Step 4: Simplify right side
    12,206.69x = 111,476,510.12
  5. Step 5: Solve for x
    x = 111,476,510.12/12,206.69
  6. Step 6: Final answer
    x = 9,132.41

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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.