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Finding the Fourth Proportional to 5,791.64, 7,992.42 and 3,139.08

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Solution

The fourth proportional to 5,791.64, 7,992.42 and 3,139.08 is: 4,331.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.64 : 7,992.42 = 3,139.08 : x
  2. Step 2: Convert to fraction form
    5,791.64/7,992.42 = 3,139.08/x
  3. Step 3: Cross multiply
    5,791.64x = 7,992.42 × 3,139.08
  4. Step 4: Simplify right side
    5,791.64x = 25,088,845.77
  5. Step 5: Solve for x
    x = 25,088,845.77/5,791.64
  6. Step 6: Final answer
    x = 4,331.91

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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.