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Finding the Fourth Proportional to 11,978.98, 16,531.09 and 6,944.42

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Solution

The fourth proportional to 11,978.98, 16,531.09 and 6,944.42 is: 9,583.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.98 : 16,531.09 = 6,944.42 : x
  2. Step 2: Convert to fraction form
    11,978.98/16,531.09 = 6,944.42/x
  3. Step 3: Cross multiply
    11,978.98x = 16,531.09 × 6,944.42
  4. Step 4: Simplify right side
    11,978.98x = 114,798,855.98
  5. Step 5: Solve for x
    x = 114,798,855.98/11,978.98
  6. Step 6: Final answer
    x = 9,583.36

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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.