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Finding the Fourth Proportional to 2,249, 3,104 and 1,661.23

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Solution

The fourth proportional to 2,249, 3,104 and 1,661.23 is: 2,292.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249 : 3,104 = 1,661.23 : x
  2. Step 2: Convert to fraction form
    2,249/3,104 = 1,661.23/x
  3. Step 3: Cross multiply
    2,249x = 3,104 × 1,661.23
  4. Step 4: Simplify right side
    2,249x = 5,156,457.92
  5. Step 5: Solve for x
    x = 5,156,457.92/2,249
  6. Step 6: Final answer
    x = 2,292.78

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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.