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Finding the Fourth Proportional to 11,721, 17,584.23 and 3,401.19

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Solution

The fourth proportional to 11,721, 17,584.23 and 3,401.19 is: 5,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,721 : 17,584.23 = 3,401.19 : x
  2. Step 2: Convert to fraction form
    11,721/17,584.23 = 3,401.19/x
  3. Step 3: Cross multiply
    11,721x = 17,584.23 × 3,401.19
  4. Step 4: Simplify right side
    11,721x = 59,807,307.23
  5. Step 5: Solve for x
    x = 59,807,307.23/11,721
  6. Step 6: Final answer
    x = 5,102.58

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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.