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Finding the Fourth Proportional to 8,170.80, 12,256.32 and 2,014.80

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Solution

The fourth proportional to 8,170.80, 12,256.32 and 2,014.80 is: 3,022.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.80 : 12,256.32 = 2,014.80 : x
  2. Step 2: Convert to fraction form
    8,170.80/12,256.32 = 2,014.80/x
  3. Step 3: Cross multiply
    8,170.80x = 12,256.32 × 2,014.80
  4. Step 4: Simplify right side
    8,170.80x = 24,694,033.54
  5. Step 5: Solve for x
    x = 24,694,033.54/8,170.80
  6. Step 6: Final answer
    x = 3,022.23

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1.5x scale

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.