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Finding the Fourth Proportional to 31,766.37, 47,651.27 and 8,392.17

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Solution

The fourth proportional to 31,766.37, 47,651.27 and 8,392.17 is: 12,588.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,766.37 : 47,651.27 = 8,392.17 : x
  2. Step 2: Convert to fraction form
    31,766.37/47,651.27 = 8,392.17/x
  3. Step 3: Cross multiply
    31,766.37x = 47,651.27 × 8,392.17
  4. Step 4: Simplify right side
    31,766.37x = 399,897,516.60
  5. Step 5: Solve for x
    x = 399,897,516.60/31,766.37
  6. Step 6: Final answer
    x = 12,588.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.