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Finding the Fourth Proportional to 8,195.31, 12,292.97 and 2,999.97

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Solution

The fourth proportional to 8,195.31, 12,292.97 and 2,999.97 is: 4,499.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.31 : 12,292.97 = 2,999.97 : x
  2. Step 2: Convert to fraction form
    8,195.31/12,292.97 = 2,999.97/x
  3. Step 3: Cross multiply
    8,195.31x = 12,292.97 × 2,999.97
  4. Step 4: Simplify right side
    8,195.31x = 36,878,526.21
  5. Step 5: Solve for x
    x = 36,878,526.21/8,195.31
  6. Step 6: Final answer
    x = 4,499.96

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Half scale
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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.