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Finding the Fourth Proportional to 11,419, 17,128.52 and 3,211

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Solution

The fourth proportional to 11,419, 17,128.52 and 3,211 is: 4,816.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419 : 17,128.52 = 3,211 : x
  2. Step 2: Convert to fraction form
    11,419/17,128.52 = 3,211/x
  3. Step 3: Cross multiply
    11,419x = 17,128.52 × 3,211
  4. Step 4: Simplify right side
    11,419x = 54,999,677.72
  5. Step 5: Solve for x
    x = 54,999,677.72/11,419
  6. Step 6: Final answer
    x = 4,816.51

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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.