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Finding the Fourth Proportional to 3,784.51, 5,675.14 and 2,791.32

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Solution

The fourth proportional to 3,784.51, 5,675.14 and 2,791.32 is: 4,185.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,784.51 : 5,675.14 = 2,791.32 : x
  2. Step 2: Convert to fraction form
    3,784.51/5,675.14 = 2,791.32/x
  3. Step 3: Cross multiply
    3,784.51x = 5,675.14 × 2,791.32
  4. Step 4: Simplify right side
    3,784.51x = 15,841,131.78
  5. Step 5: Solve for x
    x = 15,841,131.78/3,784.51
  6. Step 6: Final answer
    x = 4,185.78

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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.