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Finding the Fourth Proportional to 5,791.64, 7,992.47 and 3,139.02

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Solution

The fourth proportional to 5,791.64, 7,992.47 and 3,139.02 is: 4,331.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.64 : 7,992.47 = 3,139.02 : x
  2. Step 2: Convert to fraction form
    5,791.64/7,992.47 = 3,139.02/x
  3. Step 3: Cross multiply
    5,791.64x = 7,992.47 × 3,139.02
  4. Step 4: Simplify right side
    5,791.64x = 25,088,531.03
  5. Step 5: Solve for x
    x = 25,088,531.03/5,791.64
  6. Step 6: Final answer
    x = 4,331.86

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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.