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Finding the Fourth Proportional to 12,914.94, 19,375.68 and 3,680.94

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Solution

The fourth proportional to 12,914.94, 19,375.68 and 3,680.94 is: 5,522.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.94 : 19,375.68 = 3,680.94 : x
  2. Step 2: Convert to fraction form
    12,914.94/19,375.68 = 3,680.94/x
  3. Step 3: Cross multiply
    12,914.94x = 19,375.68 × 3,680.94
  4. Step 4: Simplify right side
    12,914.94x = 71,320,715.54
  5. Step 5: Solve for x
    x = 71,320,715.54/12,914.94
  6. Step 6: Final answer
    x = 5,522.34

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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.