Home / 3,828.80-5,742.40-2,267.84

Finding the Fourth Proportional to 3,828.80, 5,742.40 and 2,267.84

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Solution

The fourth proportional to 3,828.80, 5,742.40 and 2,267.84 is: 3,401.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.80 : 5,742.40 = 2,267.84 : x
  2. Step 2: Convert to fraction form
    3,828.80/5,742.40 = 2,267.84/x
  3. Step 3: Cross multiply
    3,828.80x = 5,742.40 × 2,267.84
  4. Step 4: Simplify right side
    3,828.80x = 13,022,844.42
  5. Step 5: Solve for x
    x = 13,022,844.42/3,828.80
  6. Step 6: Final answer
    x = 3,401.29

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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.