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Finding the Fourth Proportional to 19,940, 29,906.74 and 14,078.84

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Solution

The fourth proportional to 19,940, 29,906.74 and 14,078.84 is: 21,115.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940 : 29,906.74 = 14,078.84 : x
  2. Step 2: Convert to fraction form
    19,940/29,906.74 = 14,078.84/x
  3. Step 3: Cross multiply
    19,940x = 29,906.74 × 14,078.84
  4. Step 4: Simplify right side
    19,940x = 421,052,207.38
  5. Step 5: Solve for x
    x = 421,052,207.38/19,940
  6. Step 6: Final answer
    x = 21,115.96

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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.