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Finding the Fourth Proportional to 8,142.50, 12,213.76 and 1,986.50

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Solution

The fourth proportional to 8,142.50, 12,213.76 and 1,986.50 is: 2,979.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.50 : 12,213.76 = 1,986.50 : x
  2. Step 2: Convert to fraction form
    8,142.50/12,213.76 = 1,986.50/x
  3. Step 3: Cross multiply
    8,142.50x = 12,213.76 × 1,986.50
  4. Step 4: Simplify right side
    8,142.50x = 24,262,634.24
  5. Step 5: Solve for x
    x = 24,262,634.24/8,142.50
  6. Step 6: Final answer
    x = 2,979.75

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Double scale
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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.