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Finding the Fourth Proportional to 2,614.15, 3,922.49 and 1,297.99

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Solution

The fourth proportional to 2,614.15, 3,922.49 and 1,297.99 is: 1,947.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,614.15 : 3,922.49 = 1,297.99 : x
  2. Step 2: Convert to fraction form
    2,614.15/3,922.49 = 1,297.99/x
  3. Step 3: Cross multiply
    2,614.15x = 3,922.49 × 1,297.99
  4. Step 4: Simplify right side
    2,614.15x = 5,091,352.80
  5. Step 5: Solve for x
    x = 5,091,352.80/2,614.15
  6. Step 6: Final answer
    x = 1,947.61

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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.