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Finding the Fourth Proportional to 8,132.10, 12,198.15 and 6,188.10

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Solution

The fourth proportional to 8,132.10, 12,198.15 and 6,188.10 is: 9,282.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,132.10 : 12,198.15 = 6,188.10 : x
  2. Step 2: Convert to fraction form
    8,132.10/12,198.15 = 6,188.10/x
  3. Step 3: Cross multiply
    8,132.10x = 12,198.15 × 6,188.10
  4. Step 4: Simplify right side
    8,132.10x = 75,483,372.02
  5. Step 5: Solve for x
    x = 75,483,372.02/8,132.10
  6. Step 6: Final answer
    x = 9,282.15

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Half scale
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Double scale
Find fourth proportional to 8,133.10, 12,199.65 and 6,189.10
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.