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Finding the Fourth Proportional to 6,811.92, 10,204.22 and 3,424.50

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Solution

The fourth proportional to 6,811.92, 10,204.22 and 3,424.50 is: 5,129.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,811.92 : 10,204.22 = 3,424.50 : x
  2. Step 2: Convert to fraction form
    6,811.92/10,204.22 = 3,424.50/x
  3. Step 3: Cross multiply
    6,811.92x = 10,204.22 × 3,424.50
  4. Step 4: Simplify right side
    6,811.92x = 34,944,334.27
  5. Step 5: Solve for x
    x = 34,944,334.27/6,811.92
  6. Step 6: Final answer
    x = 5,129.88

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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.