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Finding the Fourth Proportional to 12,661, 18,992.58 and 3,427

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Solution

The fourth proportional to 12,661, 18,992.58 and 3,427 is: 5,140.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661 : 18,992.58 = 3,427 : x
  2. Step 2: Convert to fraction form
    12,661/18,992.58 = 3,427/x
  3. Step 3: Cross multiply
    12,661x = 18,992.58 × 3,427
  4. Step 4: Simplify right side
    12,661x = 65,087,571.66
  5. Step 5: Solve for x
    x = 65,087,571.66/12,661
  6. Step 6: Final answer
    x = 5,140.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.