Home / 1,896.18-2,844.25-509.39

Finding the Fourth Proportional to 1,896.18, 2,844.25 and 509.39

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Solution

The fourth proportional to 1,896.18, 2,844.25 and 509.39 is: 764.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,896.18 : 2,844.25 = 509.39 : x
  2. Step 2: Convert to fraction form
    1,896.18/2,844.25 = 509.39/x
  3. Step 3: Cross multiply
    1,896.18x = 2,844.25 × 509.39
  4. Step 4: Simplify right side
    1,896.18x = 1,448,846.54
  5. Step 5: Solve for x
    x = 1,448,846.54/1,896.18
  6. Step 6: Final answer
    x = 764.09

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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.