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Finding the Fourth Proportional to 30,431.96, 41,996.16 and 17,003.24

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Solution

The fourth proportional to 30,431.96, 41,996.16 and 17,003.24 is: 23,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,431.96 : 41,996.16 = 17,003.24 : x
  2. Step 2: Convert to fraction form
    30,431.96/41,996.16 = 17,003.24/x
  3. Step 3: Cross multiply
    30,431.96x = 41,996.16 × 17,003.24
  4. Step 4: Simplify right side
    30,431.96x = 714,070,787.56
  5. Step 5: Solve for x
    x = 714,070,787.56/30,431.96
  6. Step 6: Final answer
    x = 23,464.50

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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.