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Finding the Fourth Proportional to 6,404.76, 9,608.04 and 2,021.22

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Solution

The fourth proportional to 6,404.76, 9,608.04 and 2,021.22 is: 3,032.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.76 : 9,608.04 = 2,021.22 : x
  2. Step 2: Convert to fraction form
    6,404.76/9,608.04 = 2,021.22/x
  3. Step 3: Cross multiply
    6,404.76x = 9,608.04 × 2,021.22
  4. Step 4: Simplify right side
    6,404.76x = 19,419,962.61
  5. Step 5: Solve for x
    x = 19,419,962.61/6,404.76
  6. Step 6: Final answer
    x = 3,032.11

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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.