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Finding the Fourth Proportional to 2,771.87, 3,824.36 and 1,775.42

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Solution

The fourth proportional to 2,771.87, 3,824.36 and 1,775.42 is: 2,449.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.87 : 3,824.36 = 1,775.42 : x
  2. Step 2: Convert to fraction form
    2,771.87/3,824.36 = 1,775.42/x
  3. Step 3: Cross multiply
    2,771.87x = 3,824.36 × 1,775.42
  4. Step 4: Simplify right side
    2,771.87x = 6,789,817.23
  5. Step 5: Solve for x
    x = 6,789,817.23/2,771.87
  6. Step 6: Final answer
    x = 2,449.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.