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Finding the Fourth Proportional to 12,951.97, 17,867.66 and 8,169.73

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Solution

The fourth proportional to 12,951.97, 17,867.66 and 8,169.73 is: 11,270.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,951.97 : 17,867.66 = 8,169.73 : x
  2. Step 2: Convert to fraction form
    12,951.97/17,867.66 = 8,169.73/x
  3. Step 3: Cross multiply
    12,951.97x = 17,867.66 × 8,169.73
  4. Step 4: Simplify right side
    12,951.97x = 145,973,872.41
  5. Step 5: Solve for x
    x = 145,973,872.41/12,951.97
  6. Step 6: Final answer
    x = 11,270.40

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1.5x scale

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.