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Finding the Fourth Proportional to 27,979.88, 41,969.81 and 9,511.88

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Solution

The fourth proportional to 27,979.88, 41,969.81 and 9,511.88 is: 14,267.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,979.88 : 41,969.81 = 9,511.88 : x
  2. Step 2: Convert to fraction form
    27,979.88/41,969.81 = 9,511.88/x
  3. Step 3: Cross multiply
    27,979.88x = 41,969.81 × 9,511.88
  4. Step 4: Simplify right side
    27,979.88x = 399,211,610.27
  5. Step 5: Solve for x
    x = 399,211,610.27/27,979.88
  6. Step 6: Final answer
    x = 14,267.81

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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.