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Finding the Fourth Proportional to 6,906.17, 9,530.19 and 3,921.62

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Solution

The fourth proportional to 6,906.17, 9,530.19 and 3,921.62 is: 5,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,906.17 : 9,530.19 = 3,921.62 : x
  2. Step 2: Convert to fraction form
    6,906.17/9,530.19 = 3,921.62/x
  3. Step 3: Cross multiply
    6,906.17x = 9,530.19 × 3,921.62
  4. Step 4: Simplify right side
    6,906.17x = 37,373,736.06
  5. Step 5: Solve for x
    x = 37,373,736.06/6,906.17
  6. Step 6: Final answer
    x = 5,411.64

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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.