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Finding the Fourth Proportional to 8,142.62, 12,213.96 and 1,986.62

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Solution

The fourth proportional to 8,142.62, 12,213.96 and 1,986.62 is: 2,979.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.62 : 12,213.96 = 1,986.62 : x
  2. Step 2: Convert to fraction form
    8,142.62/12,213.96 = 1,986.62/x
  3. Step 3: Cross multiply
    8,142.62x = 12,213.96 × 1,986.62
  4. Step 4: Simplify right side
    8,142.62x = 24,264,497.22
  5. Step 5: Solve for x
    x = 24,264,497.22/8,142.62
  6. Step 6: Final answer
    x = 2,979.94

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Similar ratio
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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.