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Finding the Fourth Proportional to 3,171.82, 4,756.02 and 979.96

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Solution

The fourth proportional to 3,171.82, 4,756.02 and 979.96 is: 1,469.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,171.82 : 4,756.02 = 979.96 : x
  2. Step 2: Convert to fraction form
    3,171.82/4,756.02 = 979.96/x
  3. Step 3: Cross multiply
    3,171.82x = 4,756.02 × 979.96
  4. Step 4: Simplify right side
    3,171.82x = 4,660,709.36
  5. Step 5: Solve for x
    x = 4,660,709.36/3,171.82
  6. Step 6: Final answer
    x = 1,469.41

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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.