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Finding the Fourth Proportional to 7,213.70, 10,823.90 and 2,769.89

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Solution

The fourth proportional to 7,213.70, 10,823.90 and 2,769.89 is: 4,156.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.70 : 10,823.90 = 2,769.89 : x
  2. Step 2: Convert to fraction form
    7,213.70/10,823.90 = 2,769.89/x
  3. Step 3: Cross multiply
    7,213.70x = 10,823.90 × 2,769.89
  4. Step 4: Simplify right side
    7,213.70x = 29,981,012.37
  5. Step 5: Solve for x
    x = 29,981,012.37/7,213.70
  6. Step 6: Final answer
    x = 4,156.12

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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.