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Finding the Fourth Proportional to 10,704.87, 14,786.84 and 8,217.72

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Solution

The fourth proportional to 10,704.87, 14,786.84 and 8,217.72 is: 11,351.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,704.87 : 14,786.84 = 8,217.72 : x
  2. Step 2: Convert to fraction form
    10,704.87/14,786.84 = 8,217.72/x
  3. Step 3: Cross multiply
    10,704.87x = 14,786.84 × 8,217.72
  4. Step 4: Simplify right side
    10,704.87x = 121,514,110.80
  5. Step 5: Solve for x
    x = 121,514,110.80/10,704.87
  6. Step 6: Final answer
    x = 11,351.29

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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.