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Finding the Fourth Proportional to 19,561.50, 29,342.25 and 7,882.92

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Solution

The fourth proportional to 19,561.50, 29,342.25 and 7,882.92 is: 11,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,561.50 : 29,342.25 = 7,882.92 : x
  2. Step 2: Convert to fraction form
    19,561.50/29,342.25 = 7,882.92/x
  3. Step 3: Cross multiply
    19,561.50x = 29,342.25 × 7,882.92
  4. Step 4: Simplify right side
    19,561.50x = 231,302,609.37
  5. Step 5: Solve for x
    x = 231,302,609.37/19,561.50
  6. Step 6: Final answer
    x = 11,824.38

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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.