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Finding the Fourth Proportional to 11,411, 17,119.38 and 3,203

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Solution

The fourth proportional to 11,411, 17,119.38 and 3,203 is: 4,805.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411 : 17,119.38 = 3,203 : x
  2. Step 2: Convert to fraction form
    11,411/17,119.38 = 3,203/x
  3. Step 3: Cross multiply
    11,411x = 17,119.38 × 3,203
  4. Step 4: Simplify right side
    11,411x = 54,833,374.14
  5. Step 5: Solve for x
    x = 54,833,374.14/11,411
  6. Step 6: Final answer
    x = 4,805.31

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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.