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Finding the Fourth Proportional to 11,729.36, 16,186.44 and 7,014.80

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Solution

The fourth proportional to 11,729.36, 16,186.44 and 7,014.80 is: 9,680.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,729.36 : 16,186.44 = 7,014.80 : x
  2. Step 2: Convert to fraction form
    11,729.36/16,186.44 = 7,014.80/x
  3. Step 3: Cross multiply
    11,729.36x = 16,186.44 × 7,014.80
  4. Step 4: Simplify right side
    11,729.36x = 113,544,639.31
  5. Step 5: Solve for x
    x = 113,544,639.31/11,729.36
  6. Step 6: Final answer
    x = 9,680.38

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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.