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Finding the Fourth Proportional to 36,709, 50,658.48 and 19,942

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Solution

The fourth proportional to 36,709, 50,658.48 and 19,942 is: 27,519.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,709 : 50,658.48 = 19,942 : x
  2. Step 2: Convert to fraction form
    36,709/50,658.48 = 19,942/x
  3. Step 3: Cross multiply
    36,709x = 50,658.48 × 19,942
  4. Step 4: Simplify right side
    36,709x = 1,010,231,408.16
  5. Step 5: Solve for x
    x = 1,010,231,408.16/36,709
  6. Step 6: Final answer
    x = 27,519.99

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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.