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Finding the Fourth Proportional to 6,809.22, 10,194.13 and 3,989.54

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Solution

The fourth proportional to 6,809.22, 10,194.13 and 3,989.54 is: 5,972.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.22 : 10,194.13 = 3,989.54 : x
  2. Step 2: Convert to fraction form
    6,809.22/10,194.13 = 3,989.54/x
  3. Step 3: Cross multiply
    6,809.22x = 10,194.13 × 3,989.54
  4. Step 4: Simplify right side
    6,809.22x = 40,669,889.40
  5. Step 5: Solve for x
    x = 40,669,889.40/6,809.22
  6. Step 6: Final answer
    x = 5,972.77

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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.