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Finding the Fourth Proportional to 2,694.70, 4,046.10 and 2,079.10

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Solution

The fourth proportional to 2,694.70, 4,046.10 and 2,079.10 is: 3,121.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,694.70 : 4,046.10 = 2,079.10 : x
  2. Step 2: Convert to fraction form
    2,694.70/4,046.10 = 2,079.10/x
  3. Step 3: Cross multiply
    2,694.70x = 4,046.10 × 2,079.10
  4. Step 4: Simplify right side
    2,694.70x = 8,412,246.51
  5. Step 5: Solve for x
    x = 8,412,246.51/2,694.70
  6. Step 6: Final answer
    x = 3,121.77

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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.