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Finding the Fourth Proportional to 8,186.96, 12,280.44 and 7,059.44

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Solution

The fourth proportional to 8,186.96, 12,280.44 and 7,059.44 is: 10,589.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,186.96 : 12,280.44 = 7,059.44 : x
  2. Step 2: Convert to fraction form
    8,186.96/12,280.44 = 7,059.44/x
  3. Step 3: Cross multiply
    8,186.96x = 12,280.44 × 7,059.44
  4. Step 4: Simplify right side
    8,186.96x = 86,693,029.35
  5. Step 5: Solve for x
    x = 86,693,029.35/8,186.96
  6. Step 6: Final answer
    x = 10,589.16

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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.