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Finding the Fourth Proportional to 19,486.98, 29,241 and 8,404.56

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Solution

The fourth proportional to 19,486.98, 29,241 and 8,404.56 is: 12,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,486.98 : 29,241 = 8,404.56 : x
  2. Step 2: Convert to fraction form
    19,486.98/29,241 = 8,404.56/x
  3. Step 3: Cross multiply
    19,486.98x = 29,241 × 8,404.56
  4. Step 4: Simplify right side
    19,486.98x = 245,757,738.96
  5. Step 5: Solve for x
    x = 245,757,738.96/19,486.98
  6. Step 6: Final answer
    x = 12,611.38

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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.