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Finding the Fourth Proportional to 5,243.82, 7,867.09 and 1,956.94

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Solution

The fourth proportional to 5,243.82, 7,867.09 and 1,956.94 is: 2,935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.82 : 7,867.09 = 1,956.94 : x
  2. Step 2: Convert to fraction form
    5,243.82/7,867.09 = 1,956.94/x
  3. Step 3: Cross multiply
    5,243.82x = 7,867.09 × 1,956.94
  4. Step 4: Simplify right side
    5,243.82x = 15,395,408.33
  5. Step 5: Solve for x
    x = 15,395,408.33/5,243.82
  6. Step 6: Final answer
    x = 2,935.91

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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.