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Finding the Fourth Proportional to 3,974.74, 5,964.80 and 2,659.96

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Solution

The fourth proportional to 3,974.74, 5,964.80 and 2,659.96 is: 3,991.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,974.74 : 5,964.80 = 2,659.96 : x
  2. Step 2: Convert to fraction form
    3,974.74/5,964.80 = 2,659.96/x
  3. Step 3: Cross multiply
    3,974.74x = 5,964.80 × 2,659.96
  4. Step 4: Simplify right side
    3,974.74x = 15,866,129.41
  5. Step 5: Solve for x
    x = 15,866,129.41/3,974.74
  6. Step 6: Final answer
    x = 3,991.74

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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.