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Finding the Fourth Proportional to 15,211.41, 20,991.11 and 8,497

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Solution

The fourth proportional to 15,211.41, 20,991.11 and 8,497 is: 11,725.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.41 : 20,991.11 = 8,497 : x
  2. Step 2: Convert to fraction form
    15,211.41/20,991.11 = 8,497/x
  3. Step 3: Cross multiply
    15,211.41x = 20,991.11 × 8,497
  4. Step 4: Simplify right side
    15,211.41x = 178,361,482.91
  5. Step 5: Solve for x
    x = 178,361,482.91/15,211.41
  6. Step 6: Final answer
    x = 11,725.51

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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.