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Finding the Fourth Proportional to 7,213.89, 10,821.92 and 2,281.89

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Solution

The fourth proportional to 7,213.89, 10,821.92 and 2,281.89 is: 3,423.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.89 : 10,821.92 = 2,281.89 : x
  2. Step 2: Convert to fraction form
    7,213.89/10,821.92 = 2,281.89/x
  3. Step 3: Cross multiply
    7,213.89x = 10,821.92 × 2,281.89
  4. Step 4: Simplify right side
    7,213.89x = 24,694,419.62
  5. Step 5: Solve for x
    x = 24,694,419.62/7,213.89
  6. Step 6: Final answer
    x = 3,423.18

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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.