Home / 2,771.82-3,825.09-1,653.48

Finding the Fourth Proportional to 2,771.82, 3,825.09 and 1,653.48

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Solution

The fourth proportional to 2,771.82, 3,825.09 and 1,653.48 is: 2,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,771.82 : 3,825.09 = 1,653.48 : x
  2. Step 2: Convert to fraction form
    2,771.82/3,825.09 = 1,653.48/x
  3. Step 3: Cross multiply
    2,771.82x = 3,825.09 × 1,653.48
  4. Step 4: Simplify right side
    2,771.82x = 6,324,709.81
  5. Step 5: Solve for x
    x = 6,324,709.81/2,771.82
  6. Step 6: Final answer
    x = 2,281.79

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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.