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Finding the Fourth Proportional to 7,218.78, 9,961.86 and 3,906.78

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Solution

The fourth proportional to 7,218.78, 9,961.86 and 3,906.78 is: 5,391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.78 : 9,961.86 = 3,906.78 : x
  2. Step 2: Convert to fraction form
    7,218.78/9,961.86 = 3,906.78/x
  3. Step 3: Cross multiply
    7,218.78x = 9,961.86 × 3,906.78
  4. Step 4: Simplify right side
    7,218.78x = 38,918,795.41
  5. Step 5: Solve for x
    x = 38,918,795.41/7,218.78
  6. Step 6: Final answer
    x = 5,391.33

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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.