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Finding the Fourth Proportional to 8,141.64, 12,205.80 and 6,750.60

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Solution

The fourth proportional to 8,141.64, 12,205.80 and 6,750.60 is: 10,120.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.64 : 12,205.80 = 6,750.60 : x
  2. Step 2: Convert to fraction form
    8,141.64/12,205.80 = 6,750.60/x
  3. Step 3: Cross multiply
    8,141.64x = 12,205.80 × 6,750.60
  4. Step 4: Simplify right side
    8,141.64x = 82,396,473.48
  5. Step 5: Solve for x
    x = 82,396,473.48/8,141.64
  6. Step 6: Final answer
    x = 10,120.38

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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.