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Finding the Fourth Proportional to 30,992, 42,769.92 and 17,744

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Solution

The fourth proportional to 30,992, 42,769.92 and 17,744 is: 24,487.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,992 : 42,769.92 = 17,744 : x
  2. Step 2: Convert to fraction form
    30,992/42,769.92 = 17,744/x
  3. Step 3: Cross multiply
    30,992x = 42,769.92 × 17,744
  4. Step 4: Simplify right side
    30,992x = 758,909,460.48
  5. Step 5: Solve for x
    x = 758,909,460.48/30,992
  6. Step 6: Final answer
    x = 24,487.27

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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.