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Finding the Fourth Proportional to 8,108.76, 12,164.40 and 3,946.20

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Solution

The fourth proportional to 8,108.76, 12,164.40 and 3,946.20 is: 5,919.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,108.76 : 12,164.40 = 3,946.20 : x
  2. Step 2: Convert to fraction form
    8,108.76/12,164.40 = 3,946.20/x
  3. Step 3: Cross multiply
    8,108.76x = 12,164.40 × 3,946.20
  4. Step 4: Simplify right side
    8,108.76x = 48,003,155.28
  5. Step 5: Solve for x
    x = 48,003,155.28/8,108.76
  6. Step 6: Final answer
    x = 5,919.91

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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.