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Finding the Fourth Proportional to 11,419, 17,129.87 and 4,021.93

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Solution

The fourth proportional to 11,419, 17,129.87 and 4,021.93 is: 6,033.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419 : 17,129.87 = 4,021.93 : x
  2. Step 2: Convert to fraction form
    11,419/17,129.87 = 4,021.93/x
  3. Step 3: Cross multiply
    11,419x = 17,129.87 × 4,021.93
  4. Step 4: Simplify right side
    11,419x = 68,895,138.05
  5. Step 5: Solve for x
    x = 68,895,138.05/11,419
  6. Step 6: Final answer
    x = 6,033.38

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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.