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Finding the Fourth Proportional to 31,406.72, 43,296.44 and 22,450.95

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Solution

The fourth proportional to 31,406.72, 43,296.44 and 22,450.95 is: 30,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,406.72 : 43,296.44 = 22,450.95 : x
  2. Step 2: Convert to fraction form
    31,406.72/43,296.44 = 22,450.95/x
  3. Step 3: Cross multiply
    31,406.72x = 43,296.44 × 22,450.95
  4. Step 4: Simplify right side
    31,406.72x = 972,046,097.36
  5. Step 5: Solve for x
    x = 972,046,097.36/31,406.72
  6. Step 6: Final answer
    x = 30,950.26

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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.