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Finding the Fourth Proportional to 14,691, 20,274.06 and 8,067

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Solution

The fourth proportional to 14,691, 20,274.06 and 8,067 is: 11,132.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,691 : 20,274.06 = 8,067 : x
  2. Step 2: Convert to fraction form
    14,691/20,274.06 = 8,067/x
  3. Step 3: Cross multiply
    14,691x = 20,274.06 × 8,067
  4. Step 4: Simplify right side
    14,691x = 163,550,842.02
  5. Step 5: Solve for x
    x = 163,550,842.02/14,691
  6. Step 6: Final answer
    x = 11,132.72

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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.