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Finding the Fourth Proportional to 16,989.29, 23,446.74 and 9,917.99

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Solution

The fourth proportional to 16,989.29, 23,446.74 and 9,917.99 is: 13,687.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,989.29 : 23,446.74 = 9,917.99 : x
  2. Step 2: Convert to fraction form
    16,989.29/23,446.74 = 9,917.99/x
  3. Step 3: Cross multiply
    16,989.29x = 23,446.74 × 9,917.99
  4. Step 4: Simplify right side
    16,989.29x = 232,544,532.85
  5. Step 5: Solve for x
    x = 232,544,532.85/16,989.29
  6. Step 6: Final answer
    x = 13,687.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.