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Finding the Fourth Proportional to 17,893.98, 26,830.49 and 11,977.61

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Solution

The fourth proportional to 17,893.98, 26,830.49 and 11,977.61 is: 17,959.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,893.98 : 26,830.49 = 11,977.61 : x
  2. Step 2: Convert to fraction form
    17,893.98/26,830.49 = 11,977.61/x
  3. Step 3: Cross multiply
    17,893.98x = 26,830.49 × 11,977.61
  4. Step 4: Simplify right side
    17,893.98x = 321,364,951.29
  5. Step 5: Solve for x
    x = 321,364,951.29/17,893.98
  6. Step 6: Final answer
    x = 17,959.39

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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.