Home / 3,922-5,412.84-2,266

Finding the Fourth Proportional to 3,922, 5,412.84 and 2,266

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Solution

The fourth proportional to 3,922, 5,412.84 and 2,266 is: 3,127.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,922 : 5,412.84 = 2,266 : x
  2. Step 2: Convert to fraction form
    3,922/5,412.84 = 2,266/x
  3. Step 3: Cross multiply
    3,922x = 5,412.84 × 2,266
  4. Step 4: Simplify right side
    3,922x = 12,265,495.44
  5. Step 5: Solve for x
    x = 12,265,495.44/3,922
  6. Step 6: Final answer
    x = 3,127.36

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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.