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Finding the Fourth Proportional to 8,191.60, 12,287.40 and 6,223.30

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Solution

The fourth proportional to 8,191.60, 12,287.40 and 6,223.30 is: 9,334.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,191.60 : 12,287.40 = 6,223.30 : x
  2. Step 2: Convert to fraction form
    8,191.60/12,287.40 = 6,223.30/x
  3. Step 3: Cross multiply
    8,191.60x = 12,287.40 × 6,223.30
  4. Step 4: Simplify right side
    8,191.60x = 76,468,176.42
  5. Step 5: Solve for x
    x = 76,468,176.42/8,191.60
  6. Step 6: Final answer
    x = 9,334.95

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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.