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Finding the Fourth Proportional to 30,581.25, 42,202.20 and 17,843.19

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Solution

The fourth proportional to 30,581.25, 42,202.20 and 17,843.19 is: 24,623.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,581.25 : 42,202.20 = 17,843.19 : x
  2. Step 2: Convert to fraction form
    30,581.25/42,202.20 = 17,843.19/x
  3. Step 3: Cross multiply
    30,581.25x = 42,202.20 × 17,843.19
  4. Step 4: Simplify right side
    30,581.25x = 753,021,873.02
  5. Step 5: Solve for x
    x = 753,021,873.02/30,581.25
  6. Step 6: Final answer
    x = 24,623.65

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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.