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Finding the Fourth Proportional to 1,872.68, 2,794.21 and 1,861.80

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Solution

The fourth proportional to 1,872.68, 2,794.21 and 1,861.80 is: 2,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.68 : 2,794.21 = 1,861.80 : x
  2. Step 2: Convert to fraction form
    1,872.68/2,794.21 = 1,861.80/x
  3. Step 3: Cross multiply
    1,872.68x = 2,794.21 × 1,861.80
  4. Step 4: Simplify right side
    1,872.68x = 5,202,260.18
  5. Step 5: Solve for x
    x = 5,202,260.18/1,872.68
  6. Step 6: Final answer
    x = 2,777.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.