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Finding the Fourth Proportional to 5,249, 7,243.44 and 2,891

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Solution

The fourth proportional to 5,249, 7,243.44 and 2,891 is: 3,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,249 : 7,243.44 = 2,891 : x
  2. Step 2: Convert to fraction form
    5,249/7,243.44 = 2,891/x
  3. Step 3: Cross multiply
    5,249x = 7,243.44 × 2,891
  4. Step 4: Simplify right side
    5,249x = 20,940,785.04
  5. Step 5: Solve for x
    x = 20,940,785.04/5,249
  6. Step 6: Final answer
    x = 3,989.48

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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.