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Finding the Fourth Proportional to 7,213.90, 10,821.12 and 2,019.64

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Solution

The fourth proportional to 7,213.90, 10,821.12 and 2,019.64 is: 3,029.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.90 : 10,821.12 = 2,019.64 : x
  2. Step 2: Convert to fraction form
    7,213.90/10,821.12 = 2,019.64/x
  3. Step 3: Cross multiply
    7,213.90x = 10,821.12 × 2,019.64
  4. Step 4: Simplify right side
    7,213.90x = 21,854,766.80
  5. Step 5: Solve for x
    x = 21,854,766.80/7,213.90
  6. Step 6: Final answer
    x = 3,029.54

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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.