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Finding the Fourth Proportional to 16,287.27, 24,422.40 and 7,968.75

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Solution

The fourth proportional to 16,287.27, 24,422.40 and 7,968.75 is: 11,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,287.27 : 24,422.40 = 7,968.75 : x
  2. Step 2: Convert to fraction form
    16,287.27/24,422.40 = 7,968.75/x
  3. Step 3: Cross multiply
    16,287.27x = 24,422.40 × 7,968.75
  4. Step 4: Simplify right side
    16,287.27x = 194,616,000
  5. Step 5: Solve for x
    x = 194,616,000/16,287.27
  6. Step 6: Final answer
    x = 11,948.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.