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Finding the Fourth Proportional to 31,627.61, 47,435.92 and 11,906.32

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Solution

The fourth proportional to 31,627.61, 47,435.92 and 11,906.32 is: 17,857.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.61 : 47,435.92 = 11,906.32 : x
  2. Step 2: Convert to fraction form
    31,627.61/47,435.92 = 11,906.32/x
  3. Step 3: Cross multiply
    31,627.61x = 47,435.92 × 11,906.32
  4. Step 4: Simplify right side
    31,627.61x = 564,787,243.01
  5. Step 5: Solve for x
    x = 564,787,243.01/31,627.61
  6. Step 6: Final answer
    x = 17,857.41

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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.