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Finding the Fourth Proportional to 31,822.84, 43,912.94 and 18,394.96

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Solution

The fourth proportional to 31,822.84, 43,912.94 and 18,394.96 is: 25,383.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,822.84 : 43,912.94 = 18,394.96 : x
  2. Step 2: Convert to fraction form
    31,822.84/43,912.94 = 18,394.96/x
  3. Step 3: Cross multiply
    31,822.84x = 43,912.94 × 18,394.96
  4. Step 4: Simplify right side
    31,822.84x = 807,776,774.78
  5. Step 5: Solve for x
    x = 807,776,774.78/31,822.84
  6. Step 6: Final answer
    x = 25,383.55

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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.