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Finding the Fourth Proportional to 19,889.70, 29,825.04 and 11,571.96

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Solution

The fourth proportional to 19,889.70, 29,825.04 and 11,571.96 is: 17,352.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,889.70 : 29,825.04 = 11,571.96 : x
  2. Step 2: Convert to fraction form
    19,889.70/29,825.04 = 11,571.96/x
  3. Step 3: Cross multiply
    19,889.70x = 29,825.04 × 11,571.96
  4. Step 4: Simplify right side
    19,889.70x = 345,134,169.88
  5. Step 5: Solve for x
    x = 345,134,169.88/19,889.70
  6. Step 6: Final answer
    x = 17,352.41

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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.