Home / 2,289.42-3,431.97-828.23

Finding the Fourth Proportional to 2,289.42, 3,431.97 and 828.23

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Solution

The fourth proportional to 2,289.42, 3,431.97 and 828.23 is: 1,241.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.42 : 3,431.97 = 828.23 : x
  2. Step 2: Convert to fraction form
    2,289.42/3,431.97 = 828.23/x
  3. Step 3: Cross multiply
    2,289.42x = 3,431.97 × 828.23
  4. Step 4: Simplify right side
    2,289.42x = 2,842,443.35
  5. Step 5: Solve for x
    x = 2,842,443.35/2,289.42
  6. Step 6: Final answer
    x = 1,241.56

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1.5x scale

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.