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Finding the Fourth Proportional to 12,794.43, 17,660.12 and 8,081.85

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Solution

The fourth proportional to 12,794.43, 17,660.12 and 8,081.85 is: 11,155.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,794.43 : 17,660.12 = 8,081.85 : x
  2. Step 2: Convert to fraction form
    12,794.43/17,660.12 = 8,081.85/x
  3. Step 3: Cross multiply
    12,794.43x = 17,660.12 × 8,081.85
  4. Step 4: Simplify right side
    12,794.43x = 142,726,400.41
  5. Step 5: Solve for x
    x = 142,726,400.41/12,794.43
  6. Step 6: Final answer
    x = 11,155.35

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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.