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Finding the Fourth Proportional to 7,791.06, 11,691.48 and 3,174.06

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Solution

The fourth proportional to 7,791.06, 11,691.48 and 3,174.06 is: 4,763.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,791.06 : 11,691.48 = 3,174.06 : x
  2. Step 2: Convert to fraction form
    7,791.06/11,691.48 = 3,174.06/x
  3. Step 3: Cross multiply
    7,791.06x = 11,691.48 × 3,174.06
  4. Step 4: Simplify right side
    7,791.06x = 37,109,459.01
  5. Step 5: Solve for x
    x = 37,109,459.01/7,791.06
  6. Step 6: Final answer
    x = 4,763.08

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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.