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Finding the Fourth Proportional to 16,835.20, 23,231.97 and 9,178.31

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Solution

The fourth proportional to 16,835.20, 23,231.97 and 9,178.31 is: 12,665.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,835.20 : 23,231.97 = 9,178.31 : x
  2. Step 2: Convert to fraction form
    16,835.20/23,231.97 = 9,178.31/x
  3. Step 3: Cross multiply
    16,835.20x = 23,231.97 × 9,178.31
  4. Step 4: Simplify right side
    16,835.20x = 213,230,222.57
  5. Step 5: Solve for x
    x = 213,230,222.57/16,835.20
  6. Step 6: Final answer
    x = 12,665.74

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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.