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Finding the Fourth Proportional to 12,250, 16,905.14 and 6,661

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Solution

The fourth proportional to 12,250, 16,905.14 and 6,661 is: 9,192.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,250 : 16,905.14 = 6,661 : x
  2. Step 2: Convert to fraction form
    12,250/16,905.14 = 6,661/x
  3. Step 3: Cross multiply
    12,250x = 16,905.14 × 6,661
  4. Step 4: Simplify right side
    12,250x = 112,605,137.54
  5. Step 5: Solve for x
    x = 112,605,137.54/12,250
  6. Step 6: Final answer
    x = 9,192.26

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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.