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Finding the Fourth Proportional to 3,783.36, 5,219.56 and 2,791

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Solution

The fourth proportional to 3,783.36, 5,219.56 and 2,791 is: 3,850.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.36 : 5,219.56 = 2,791 : x
  2. Step 2: Convert to fraction form
    3,783.36/5,219.56 = 2,791/x
  3. Step 3: Cross multiply
    3,783.36x = 5,219.56 × 2,791
  4. Step 4: Simplify right side
    3,783.36x = 14,567,791.96
  5. Step 5: Solve for x
    x = 14,567,791.96/3,783.36
  6. Step 6: Final answer
    x = 3,850.49

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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.