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Finding the Fourth Proportional to 8,129.60, 12,194.40 and 8,043.20

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Solution

The fourth proportional to 8,129.60, 12,194.40 and 8,043.20 is: 12,064.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,129.60 : 12,194.40 = 8,043.20 : x
  2. Step 2: Convert to fraction form
    8,129.60/12,194.40 = 8,043.20/x
  3. Step 3: Cross multiply
    8,129.60x = 12,194.40 × 8,043.20
  4. Step 4: Simplify right side
    8,129.60x = 98,081,998.08
  5. Step 5: Solve for x
    x = 98,081,998.08/8,129.60
  6. Step 6: Final answer
    x = 12,064.80

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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.