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Finding the Fourth Proportional to 11,978.24, 16,530 and 6,943.44

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Solution

The fourth proportional to 11,978.24, 16,530 and 6,943.44 is: 9,581.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978.24 : 16,530 = 6,943.44 : x
  2. Step 2: Convert to fraction form
    11,978.24/16,530 = 6,943.44/x
  3. Step 3: Cross multiply
    11,978.24x = 16,530 × 6,943.44
  4. Step 4: Simplify right side
    11,978.24x = 114,775,063.20
  5. Step 5: Solve for x
    x = 114,775,063.20/11,978.24
  6. Step 6: Final answer
    x = 9,581.96

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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.