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Finding the Fourth Proportional to 12,634.32, 18,951.48 and 11,682

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Solution

The fourth proportional to 12,634.32, 18,951.48 and 11,682 is: 17,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.32 : 18,951.48 = 11,682 : x
  2. Step 2: Convert to fraction form
    12,634.32/18,951.48 = 11,682/x
  3. Step 3: Cross multiply
    12,634.32x = 18,951.48 × 11,682
  4. Step 4: Simplify right side
    12,634.32x = 221,391,189.36
  5. Step 5: Solve for x
    x = 221,391,189.36/12,634.32
  6. Step 6: Final answer
    x = 17,523

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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.