Home / 1,825.83-2,738.97-509.58

Finding the Fourth Proportional to 1,825.83, 2,738.97 and 509.58

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Solution

The fourth proportional to 1,825.83, 2,738.97 and 509.58 is: 764.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,825.83 : 2,738.97 = 509.58 : x
  2. Step 2: Convert to fraction form
    1,825.83/2,738.97 = 509.58/x
  3. Step 3: Cross multiply
    1,825.83x = 2,738.97 × 509.58
  4. Step 4: Simplify right side
    1,825.83x = 1,395,724.33
  5. Step 5: Solve for x
    x = 1,395,724.33/1,825.83
  6. Step 6: Final answer
    x = 764.43

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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.