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Finding the Fourth Proportional to 16,821.75, 23,214.02 and 9,369.75

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Solution

The fourth proportional to 16,821.75, 23,214.02 and 9,369.75 is: 12,930.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.75 : 23,214.02 = 9,369.75 : x
  2. Step 2: Convert to fraction form
    16,821.75/23,214.02 = 9,369.75/x
  3. Step 3: Cross multiply
    16,821.75x = 23,214.02 × 9,369.75
  4. Step 4: Simplify right side
    16,821.75x = 217,509,517.05
  5. Step 5: Solve for x
    x = 217,509,517.05/16,821.75
  6. Step 6: Final answer
    x = 12,930.26

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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.