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Finding the Fourth Proportional to 8,142.92, 12,195.39 and 5,946.20

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Solution

The fourth proportional to 8,142.92, 12,195.39 and 5,946.20 is: 8,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.92 : 12,195.39 = 5,946.20 : x
  2. Step 2: Convert to fraction form
    8,142.92/12,195.39 = 5,946.20/x
  3. Step 3: Cross multiply
    8,142.92x = 12,195.39 × 5,946.20
  4. Step 4: Simplify right side
    8,142.92x = 72,516,228.02
  5. Step 5: Solve for x
    x = 72,516,228.02/8,142.92
  6. Step 6: Final answer
    x = 8,905.43

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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.