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Finding the Fourth Proportional to 21,634.88, 29,859.08 and 12,685.95

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Solution

The fourth proportional to 21,634.88, 29,859.08 and 12,685.95 is: 17,508.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634.88 : 29,859.08 = 12,685.95 : x
  2. Step 2: Convert to fraction form
    21,634.88/29,859.08 = 12,685.95/x
  3. Step 3: Cross multiply
    21,634.88x = 29,859.08 × 12,685.95
  4. Step 4: Simplify right side
    21,634.88x = 378,790,732.50
  5. Step 5: Solve for x
    x = 378,790,732.50/21,634.88
  6. Step 6: Final answer
    x = 17,508.34

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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.