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Finding the Fourth Proportional to 3,971.31, 5,956.97 and 3,195.74

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Solution

The fourth proportional to 3,971.31, 5,956.97 and 3,195.74 is: 4,793.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.31 : 5,956.97 = 3,195.74 : x
  2. Step 2: Convert to fraction form
    3,971.31/5,956.97 = 3,195.74/x
  3. Step 3: Cross multiply
    3,971.31x = 5,956.97 × 3,195.74
  4. Step 4: Simplify right side
    3,971.31x = 19,036,881.54
  5. Step 5: Solve for x
    x = 19,036,881.54/3,971.31
  6. Step 6: Final answer
    x = 4,793.60

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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.