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Finding the Fourth Proportional to 31,614, 43,627.92 and 20,455.44

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Solution

The fourth proportional to 31,614, 43,627.92 and 20,455.44 is: 28,228.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,614 : 43,627.92 = 20,455.44 : x
  2. Step 2: Convert to fraction form
    31,614/43,627.92 = 20,455.44/x
  3. Step 3: Cross multiply
    31,614x = 43,627.92 × 20,455.44
  4. Step 4: Simplify right side
    31,614x = 892,428,299.88
  5. Step 5: Solve for x
    x = 892,428,299.88/31,614
  6. Step 6: Final answer
    x = 28,228.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.