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Finding the Fourth Proportional to 8,141.68, 12,208.20 and 3,982.42

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Solution

The fourth proportional to 8,141.68, 12,208.20 and 3,982.42 is: 5,971.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,141.68 : 12,208.20 = 3,982.42 : x
  2. Step 2: Convert to fraction form
    8,141.68/12,208.20 = 3,982.42/x
  3. Step 3: Cross multiply
    8,141.68x = 12,208.20 × 3,982.42
  4. Step 4: Simplify right side
    8,141.68x = 48,618,179.84
  5. Step 5: Solve for x
    x = 48,618,179.84/8,141.68
  6. Step 6: Final answer
    x = 5,971.52

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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.