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Finding the Fourth Proportional to 17,278.12, 23,842.92 and 9,724.60

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Solution

The fourth proportional to 17,278.12, 23,842.92 and 9,724.60 is: 13,419.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,278.12 : 23,842.92 = 9,724.60 : x
  2. Step 2: Convert to fraction form
    17,278.12/23,842.92 = 9,724.60/x
  3. Step 3: Cross multiply
    17,278.12x = 23,842.92 × 9,724.60
  4. Step 4: Simplify right side
    17,278.12x = 231,862,859.83
  5. Step 5: Solve for x
    x = 231,862,859.83/17,278.12
  6. Step 6: Final answer
    x = 13,419.45

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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.