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Finding the Fourth Proportional to 7,221.82, 9,956.48 and 5,734.66

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Solution

The fourth proportional to 7,221.82, 9,956.48 and 5,734.66 is: 7,906.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.82 : 9,956.48 = 5,734.66 : x
  2. Step 2: Convert to fraction form
    7,221.82/9,956.48 = 5,734.66/x
  3. Step 3: Cross multiply
    7,221.82x = 9,956.48 × 5,734.66
  4. Step 4: Simplify right side
    7,221.82x = 57,097,027.60
  5. Step 5: Solve for x
    x = 57,097,027.60/7,221.82
  6. Step 6: Final answer
    x = 7,906.18

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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.