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Finding the Fourth Proportional to 5,791.48, 7,992.35 and 3,139

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Solution

The fourth proportional to 5,791.48, 7,992.35 and 3,139 is: 4,331.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,791.48 : 7,992.35 = 3,139 : x
  2. Step 2: Convert to fraction form
    5,791.48/7,992.35 = 3,139/x
  3. Step 3: Cross multiply
    5,791.48x = 7,992.35 × 3,139
  4. Step 4: Simplify right side
    5,791.48x = 25,087,986.65
  5. Step 5: Solve for x
    x = 25,087,986.65/5,791.48
  6. Step 6: Final answer
    x = 4,331.88

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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.