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Finding the Fourth Proportional to 13,274.73, 19,911.64 and 3,914.90

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Solution

The fourth proportional to 13,274.73, 19,911.64 and 3,914.90 is: 5,872.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,274.73 : 19,911.64 = 3,914.90 : x
  2. Step 2: Convert to fraction form
    13,274.73/19,911.64 = 3,914.90/x
  3. Step 3: Cross multiply
    13,274.73x = 19,911.64 × 3,914.90
  4. Step 4: Simplify right side
    13,274.73x = 77,952,079.44
  5. Step 5: Solve for x
    x = 77,952,079.44/13,274.73
  6. Step 6: Final answer
    x = 5,872.22

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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.