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Finding the Fourth Proportional to 12,206, 16,844.28 and 6,617

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Solution

The fourth proportional to 12,206, 16,844.28 and 6,617 is: 9,131.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,206 : 16,844.28 = 6,617 : x
  2. Step 2: Convert to fraction form
    12,206/16,844.28 = 6,617/x
  3. Step 3: Cross multiply
    12,206x = 16,844.28 × 6,617
  4. Step 4: Simplify right side
    12,206x = 111,458,600.76
  5. Step 5: Solve for x
    x = 111,458,600.76/12,206
  6. Step 6: Final answer
    x = 9,131.46

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Why These Related Problems?

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