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Finding the Fourth Proportional to 8,148.88, 12,219.22 and 3,982.64

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Solution

The fourth proportional to 8,148.88, 12,219.22 and 3,982.64 is: 5,971.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.88 : 12,219.22 = 3,982.64 : x
  2. Step 2: Convert to fraction form
    8,148.88/12,219.22 = 3,982.64/x
  3. Step 3: Cross multiply
    8,148.88x = 12,219.22 × 3,982.64
  4. Step 4: Simplify right side
    8,148.88x = 48,664,754.34
  5. Step 5: Solve for x
    x = 48,664,754.34/8,148.88
  6. Step 6: Final answer
    x = 5,971.96

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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.