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Finding the Fourth Proportional to 27,307.94, 40,978.31 and 11,511.97

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Solution

The fourth proportional to 27,307.94, 40,978.31 and 11,511.97 is: 17,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,307.94 : 40,978.31 = 11,511.97 : x
  2. Step 2: Convert to fraction form
    27,307.94/40,978.31 = 11,511.97/x
  3. Step 3: Cross multiply
    27,307.94x = 40,978.31 × 11,511.97
  4. Step 4: Simplify right side
    27,307.94x = 471,741,145.87
  5. Step 5: Solve for x
    x = 471,741,145.87/27,307.94
  6. Step 6: Final answer
    x = 17,274.87

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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.