Home / 3,828.98-5,284.69-2,257.14

Finding the Fourth Proportional to 3,828.98, 5,284.69 and 2,257.14

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Solution

The fourth proportional to 3,828.98, 5,284.69 and 2,257.14 is: 3,115.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.98 : 5,284.69 = 2,257.14 : x
  2. Step 2: Convert to fraction form
    3,828.98/5,284.69 = 2,257.14/x
  3. Step 3: Cross multiply
    3,828.98x = 5,284.69 × 2,257.14
  4. Step 4: Simplify right side
    3,828.98x = 11,928,285.19
  5. Step 5: Solve for x
    x = 11,928,285.19/3,828.98
  6. Step 6: Final answer
    x = 3,115.26

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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.