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Finding the Fourth Proportional to 17,738.90, 24,481.14 and 9,781.88

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Solution

The fourth proportional to 17,738.90, 24,481.14 and 9,781.88 is: 13,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,738.90 : 24,481.14 = 9,781.88 : x
  2. Step 2: Convert to fraction form
    17,738.90/24,481.14 = 9,781.88/x
  3. Step 3: Cross multiply
    17,738.90x = 24,481.14 × 9,781.88
  4. Step 4: Simplify right side
    17,738.90x = 239,471,573.74
  5. Step 5: Solve for x
    x = 239,471,573.74/17,738.90
  6. Step 6: Final answer
    x = 13,499.80

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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.