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Finding the Fourth Proportional to 16,431.72, 24,641.09 and 7,072.44

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Solution

The fourth proportional to 16,431.72, 24,641.09 and 7,072.44 is: 10,605.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,431.72 : 24,641.09 = 7,072.44 : x
  2. Step 2: Convert to fraction form
    16,431.72/24,641.09 = 7,072.44/x
  3. Step 3: Cross multiply
    16,431.72x = 24,641.09 × 7,072.44
  4. Step 4: Simplify right side
    16,431.72x = 174,272,630.56
  5. Step 5: Solve for x
    x = 174,272,630.56/16,431.72
  6. Step 6: Final answer
    x = 10,605.87

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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.