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Finding the Fourth Proportional to 3,213.69, 4,825.13 and 1,829.80

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Solution

The fourth proportional to 3,213.69, 4,825.13 and 1,829.80 is: 2,747.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,213.69 : 4,825.13 = 1,829.80 : x
  2. Step 2: Convert to fraction form
    3,213.69/4,825.13 = 1,829.80/x
  3. Step 3: Cross multiply
    3,213.69x = 4,825.13 × 1,829.80
  4. Step 4: Simplify right side
    3,213.69x = 8,829,013.73
  5. Step 5: Solve for x
    x = 8,829,013.73/3,213.69
  6. Step 6: Final answer
    x = 2,747.32

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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.