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Finding the Fourth Proportional to 31,791.82, 47,682.32 and 8,420.62

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Solution

The fourth proportional to 31,791.82, 47,682.32 and 8,420.62 is: 12,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,791.82 : 47,682.32 = 8,420.62 : x
  2. Step 2: Convert to fraction form
    31,791.82/47,682.32 = 8,420.62/x
  3. Step 3: Cross multiply
    31,791.82x = 47,682.32 × 8,420.62
  4. Step 4: Simplify right side
    31,791.82x = 401,514,697.44
  5. Step 5: Solve for x
    x = 401,514,697.44/31,791.82
  6. Step 6: Final answer
    x = 12,629.50

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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.