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Finding the Fourth Proportional to 9,021, 13,519.62 and 3,820.44

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Solution

The fourth proportional to 9,021, 13,519.62 and 3,820.44 is: 5,725.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,021 : 13,519.62 = 3,820.44 : x
  2. Step 2: Convert to fraction form
    9,021/13,519.62 = 3,820.44/x
  3. Step 3: Cross multiply
    9,021x = 13,519.62 × 3,820.44
  4. Step 4: Simplify right side
    9,021x = 51,650,897.03
  5. Step 5: Solve for x
    x = 51,650,897.03/9,021
  6. Step 6: Final answer
    x = 5,725.63

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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.