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Finding the Fourth Proportional to 13,937.88, 19,234.08 and 8,634

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Solution

The fourth proportional to 13,937.88, 19,234.08 and 8,634 is: 11,914.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.88 : 19,234.08 = 8,634 : x
  2. Step 2: Convert to fraction form
    13,937.88/19,234.08 = 8,634/x
  3. Step 3: Cross multiply
    13,937.88x = 19,234.08 × 8,634
  4. Step 4: Simplify right side
    13,937.88x = 166,067,046.72
  5. Step 5: Solve for x
    x = 166,067,046.72/13,937.88
  6. Step 6: Final answer
    x = 11,914.80

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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.