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Finding the Fourth Proportional to 2,797.91, 4,198.32 and 1,238.99

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Solution

The fourth proportional to 2,797.91, 4,198.32 and 1,238.99 is: 1,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.91 : 4,198.32 = 1,238.99 : x
  2. Step 2: Convert to fraction form
    2,797.91/4,198.32 = 1,238.99/x
  3. Step 3: Cross multiply
    2,797.91x = 4,198.32 × 1,238.99
  4. Step 4: Simplify right side
    2,797.91x = 5,201,655.51
  5. Step 5: Solve for x
    x = 5,201,655.51/2,797.91
  6. Step 6: Final answer
    x = 1,859.12

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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.