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Finding the Fourth Proportional to 7,902.97, 11,854.35 and 3,221.88

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Solution

The fourth proportional to 7,902.97, 11,854.35 and 3,221.88 is: 4,832.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,902.97 : 11,854.35 = 3,221.88 : x
  2. Step 2: Convert to fraction form
    7,902.97/11,854.35 = 3,221.88/x
  3. Step 3: Cross multiply
    7,902.97x = 11,854.35 × 3,221.88
  4. Step 4: Simplify right side
    7,902.97x = 38,193,293.18
  5. Step 5: Solve for x
    x = 38,193,293.18/7,902.97
  6. Step 6: Final answer
    x = 4,832.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.