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Finding the Fourth Proportional to 6,884.38, 10,309.92 and 6,539.86

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Solution

The fourth proportional to 6,884.38, 10,309.92 and 6,539.86 is: 9,793.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.38 : 10,309.92 = 6,539.86 : x
  2. Step 2: Convert to fraction form
    6,884.38/10,309.92 = 6,539.86/x
  3. Step 3: Cross multiply
    6,884.38x = 10,309.92 × 6,539.86
  4. Step 4: Simplify right side
    6,884.38x = 67,425,433.41
  5. Step 5: Solve for x
    x = 67,425,433.41/6,884.38
  6. Step 6: Final answer
    x = 9,793.97

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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.