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Finding the Fourth Proportional to 3,162, 4,736.79 and 2,982.18

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Solution

The fourth proportional to 3,162, 4,736.79 and 2,982.18 is: 4,467.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162 : 4,736.79 = 2,982.18 : x
  2. Step 2: Convert to fraction form
    3,162/4,736.79 = 2,982.18/x
  3. Step 3: Cross multiply
    3,162x = 4,736.79 × 2,982.18
  4. Step 4: Simplify right side
    3,162x = 14,125,960.40
  5. Step 5: Solve for x
    x = 14,125,960.40/3,162
  6. Step 6: Final answer
    x = 4,467.41

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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.