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Finding the Fourth Proportional to 16,997.30, 23,455.79 and 9,729.58

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Solution

The fourth proportional to 16,997.30, 23,455.79 and 9,729.58 is: 13,426.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,997.30 : 23,455.79 = 9,729.58 : x
  2. Step 2: Convert to fraction form
    16,997.30/23,455.79 = 9,729.58/x
  3. Step 3: Cross multiply
    16,997.30x = 23,455.79 × 9,729.58
  4. Step 4: Simplify right side
    16,997.30x = 228,214,819.34
  5. Step 5: Solve for x
    x = 228,214,819.34/16,997.30
  6. Step 6: Final answer
    x = 13,426.53

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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.