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Finding the Fourth Proportional to 31,591.96, 47,416.60 and 16,813.32

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Solution

The fourth proportional to 31,591.96, 47,416.60 and 16,813.32 is: 25,235.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,591.96 : 47,416.60 = 16,813.32 : x
  2. Step 2: Convert to fraction form
    31,591.96/47,416.60 = 16,813.32/x
  3. Step 3: Cross multiply
    31,591.96x = 47,416.60 × 16,813.32
  4. Step 4: Simplify right side
    31,591.96x = 797,230,469.11
  5. Step 5: Solve for x
    x = 797,230,469.11/31,591.96
  6. Step 6: Final answer
    x = 25,235.23

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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.