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Finding the Fourth Proportional to 3,972.31, 5,958.47 and 3,196.74

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Solution

The fourth proportional to 3,972.31, 5,958.47 and 3,196.74 is: 4,795.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,972.31 : 5,958.47 = 3,196.74 : x
  2. Step 2: Convert to fraction form
    3,972.31/5,958.47 = 3,196.74/x
  3. Step 3: Cross multiply
    3,972.31x = 5,958.47 × 3,196.74
  4. Step 4: Simplify right side
    3,972.31x = 19,047,679.39
  5. Step 5: Solve for x
    x = 19,047,679.39/3,972.31
  6. Step 6: Final answer
    x = 4,795.11

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Similar ratio
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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.