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Finding the Fourth Proportional to 12,834, 19,195.41 and 7,556.43

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Solution

The fourth proportional to 12,834, 19,195.41 and 7,556.43 is: 11,301.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,834 : 19,195.41 = 7,556.43 : x
  2. Step 2: Convert to fraction form
    12,834/19,195.41 = 7,556.43/x
  3. Step 3: Cross multiply
    12,834x = 19,195.41 × 7,556.43
  4. Step 4: Simplify right side
    12,834x = 145,048,771.99
  5. Step 5: Solve for x
    x = 145,048,771.99/12,834
  6. Step 6: Final answer
    x = 11,301.91

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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.