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Finding the Fourth Proportional to 6,906.12, 9,530.08 and 3,921.88

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Solution

The fourth proportional to 6,906.12, 9,530.08 and 3,921.88 is: 5,411.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.12 : 9,530.08 = 3,921.88 : x
  2. Step 2: Convert to fraction form
    6,906.12/9,530.08 = 3,921.88/x
  3. Step 3: Cross multiply
    6,906.12x = 9,530.08 × 3,921.88
  4. Step 4: Simplify right side
    6,906.12x = 37,375,830.15
  5. Step 5: Solve for x
    x = 37,375,830.15/6,906.12
  6. Step 6: Final answer
    x = 5,411.99

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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.