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Finding the Fourth Proportional to 2,861.62, 4,299.62 and 1,822.09

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Solution

The fourth proportional to 2,861.62, 4,299.62 and 1,822.09 is: 2,737.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,861.62 : 4,299.62 = 1,822.09 : x
  2. Step 2: Convert to fraction form
    2,861.62/4,299.62 = 1,822.09/x
  3. Step 3: Cross multiply
    2,861.62x = 4,299.62 × 1,822.09
  4. Step 4: Simplify right side
    2,861.62x = 7,834,294.61
  5. Step 5: Solve for x
    x = 7,834,294.61/2,861.62
  6. Step 6: Final answer
    x = 2,737.71

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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.