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Finding the Fourth Proportional to 11,955.88, 17,918.38 and 9,969.15

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Solution

The fourth proportional to 11,955.88, 17,918.38 and 9,969.15 is: 14,940.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,955.88 : 17,918.38 = 9,969.15 : x
  2. Step 2: Convert to fraction form
    11,955.88/17,918.38 = 9,969.15/x
  3. Step 3: Cross multiply
    11,955.88x = 17,918.38 × 9,969.15
  4. Step 4: Simplify right side
    11,955.88x = 178,631,017.98
  5. Step 5: Solve for x
    x = 178,631,017.98/11,955.88
  6. Step 6: Final answer
    x = 14,940.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.