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Finding the Fourth Proportional to 31,633, 43,654.26 and 20,474.44

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Solution

The fourth proportional to 31,633, 43,654.26 and 20,474.44 is: 28,255.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633 : 43,654.26 = 20,474.44 : x
  2. Step 2: Convert to fraction form
    31,633/43,654.26 = 20,474.44/x
  3. Step 3: Cross multiply
    31,633x = 43,654.26 × 20,474.44
  4. Step 4: Simplify right side
    31,633x = 893,796,527.11
  5. Step 5: Solve for x
    x = 893,796,527.11/31,633
  6. Step 6: Final answer
    x = 28,255.19

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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.