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Finding the Fourth Proportional to 31,606.48, 43,611.23 and 20,422

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Solution

The fourth proportional to 31,606.48, 43,611.23 and 20,422 is: 28,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.48 : 43,611.23 = 20,422 : x
  2. Step 2: Convert to fraction form
    31,606.48/43,611.23 = 20,422/x
  3. Step 3: Cross multiply
    31,606.48x = 43,611.23 × 20,422
  4. Step 4: Simplify right side
    31,606.48x = 890,628,539.06
  5. Step 5: Solve for x
    x = 890,628,539.06/31,606.48
  6. Step 6: Final answer
    x = 28,178.67

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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.