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Finding the Fourth Proportional to 2,296.94, 3,169.78 and 1,249

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Solution

The fourth proportional to 2,296.94, 3,169.78 and 1,249 is: 1,723.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296.94 : 3,169.78 = 1,249 : x
  2. Step 2: Convert to fraction form
    2,296.94/3,169.78 = 1,249/x
  3. Step 3: Cross multiply
    2,296.94x = 3,169.78 × 1,249
  4. Step 4: Simplify right side
    2,296.94x = 3,959,055.22
  5. Step 5: Solve for x
    x = 3,959,055.22/2,296.94
  6. Step 6: Final answer
    x = 1,723.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.