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Finding the Fourth Proportional to 6,850.92, 9,454.68 and 3,865.64

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Solution

The fourth proportional to 6,850.92, 9,454.68 and 3,865.64 is: 5,334.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.92 : 9,454.68 = 3,865.64 : x
  2. Step 2: Convert to fraction form
    6,850.92/9,454.68 = 3,865.64/x
  3. Step 3: Cross multiply
    6,850.92x = 9,454.68 × 3,865.64
  4. Step 4: Simplify right side
    6,850.92x = 36,548,389.20
  5. Step 5: Solve for x
    x = 36,548,389.20/6,850.92
  6. Step 6: Final answer
    x = 5,334.81

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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.