Home / 1,825.09-2,739.34-838.43

Finding the Fourth Proportional to 1,825.09, 2,739.34 and 838.43

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Solution

The fourth proportional to 1,825.09, 2,739.34 and 838.43 is: 1,258.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.09 : 2,739.34 = 838.43 : x
  2. Step 2: Convert to fraction form
    1,825.09/2,739.34 = 838.43/x
  3. Step 3: Cross multiply
    1,825.09x = 2,739.34 × 838.43
  4. Step 4: Simplify right side
    1,825.09x = 2,296,747.49
  5. Step 5: Solve for x
    x = 2,296,747.49/1,825.09
  6. Step 6: Final answer
    x = 1,258.43

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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.