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Finding the Fourth Proportional to 19,529, 26,951.46 and 12,078.44

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Solution

The fourth proportional to 19,529, 26,951.46 and 12,078.44 is: 16,669.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,529 : 26,951.46 = 12,078.44 : x
  2. Step 2: Convert to fraction form
    19,529/26,951.46 = 12,078.44/x
  3. Step 3: Cross multiply
    19,529x = 26,951.46 × 12,078.44
  4. Step 4: Simplify right side
    19,529x = 325,531,592.52
  5. Step 5: Solve for x
    x = 325,531,592.52/19,529
  6. Step 6: Final answer
    x = 16,669.14

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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.