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Finding the Fourth Proportional to 8,194.53, 12,289.68 and 2,349.78

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Solution

The fourth proportional to 8,194.53, 12,289.68 and 2,349.78 is: 3,524.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.53 : 12,289.68 = 2,349.78 : x
  2. Step 2: Convert to fraction form
    8,194.53/12,289.68 = 2,349.78/x
  3. Step 3: Cross multiply
    8,194.53x = 12,289.68 × 2,349.78
  4. Step 4: Simplify right side
    8,194.53x = 28,878,044.27
  5. Step 5: Solve for x
    x = 28,878,044.27/8,194.53
  6. Step 6: Final answer
    x = 3,524.06

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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.