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Finding the Fourth Proportional to 6,891.40, 9,509.34 and 3,906.64

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Solution

The fourth proportional to 6,891.40, 9,509.34 and 3,906.64 is: 5,390.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,891.40 : 9,509.34 = 3,906.64 : x
  2. Step 2: Convert to fraction form
    6,891.40/9,509.34 = 3,906.64/x
  3. Step 3: Cross multiply
    6,891.40x = 9,509.34 × 3,906.64
  4. Step 4: Simplify right side
    6,891.40x = 37,149,568.02
  5. Step 5: Solve for x
    x = 37,149,568.02/6,891.40
  6. Step 6: Final answer
    x = 5,390.71

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.