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Finding the Fourth Proportional to 31,670.80, 47,508.92 and 8,297.24

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Solution

The fourth proportional to 31,670.80, 47,508.92 and 8,297.24 is: 12,446.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,670.80 : 47,508.92 = 8,297.24 : x
  2. Step 2: Convert to fraction form
    31,670.80/47,508.92 = 8,297.24/x
  3. Step 3: Cross multiply
    31,670.80x = 47,508.92 × 8,297.24
  4. Step 4: Simplify right side
    31,670.80x = 394,192,911.38
  5. Step 5: Solve for x
    x = 394,192,911.38/31,670.80
  6. Step 6: Final answer
    x = 12,446.57

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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.