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Finding the Fourth Proportional to 6,906.69, 10,352.87 and 3,938.80

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Solution

The fourth proportional to 6,906.69, 10,352.87 and 3,938.80 is: 5,904.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.69 : 10,352.87 = 3,938.80 : x
  2. Step 2: Convert to fraction form
    6,906.69/10,352.87 = 3,938.80/x
  3. Step 3: Cross multiply
    6,906.69x = 10,352.87 × 3,938.80
  4. Step 4: Simplify right side
    6,906.69x = 40,777,884.36
  5. Step 5: Solve for x
    x = 40,777,884.36/6,906.69
  6. Step 6: Final answer
    x = 5,904.11

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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.