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Finding the Fourth Proportional to 11,880, 16,394.40 and 6,912

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Solution

The fourth proportional to 11,880, 16,394.40 and 6,912 is: 9,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,880 : 16,394.40 = 6,912 : x
  2. Step 2: Convert to fraction form
    11,880/16,394.40 = 6,912/x
  3. Step 3: Cross multiply
    11,880x = 16,394.40 × 6,912
  4. Step 4: Simplify right side
    11,880x = 113,318,092.80
  5. Step 5: Solve for x
    x = 113,318,092.80/11,880
  6. Step 6: Final answer
    x = 9,538.56

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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.