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Finding the Fourth Proportional to 8,161.97, 12,245.18 and 2,318.63

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Solution

The fourth proportional to 8,161.97, 12,245.18 and 2,318.63 is: 3,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.97 : 12,245.18 = 2,318.63 : x
  2. Step 2: Convert to fraction form
    8,161.97/12,245.18 = 2,318.63/x
  3. Step 3: Cross multiply
    8,161.97x = 12,245.18 × 2,318.63
  4. Step 4: Simplify right side
    8,161.97x = 28,391,968.88
  5. Step 5: Solve for x
    x = 28,391,968.88/8,161.97
  6. Step 6: Final answer
    x = 3,478.57

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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.