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Finding the Fourth Proportional to 31,651.60, 47,480.12 and 8,278

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Solution

The fourth proportional to 31,651.60, 47,480.12 and 8,278 is: 12,417.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,651.60 : 47,480.12 = 8,278 : x
  2. Step 2: Convert to fraction form
    31,651.60/47,480.12 = 8,278/x
  3. Step 3: Cross multiply
    31,651.60x = 47,480.12 × 8,278
  4. Step 4: Simplify right side
    31,651.60x = 393,040,433.36
  5. Step 5: Solve for x
    x = 393,040,433.36/31,651.60
  6. Step 6: Final answer
    x = 12,417.71

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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.