Home / 2,742.94-3,782.82-1,998.64

Finding the Fourth Proportional to 2,742.94, 3,782.82 and 1,998.64

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Solution

The fourth proportional to 2,742.94, 3,782.82 and 1,998.64 is: 2,756.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.94 : 3,782.82 = 1,998.64 : x
  2. Step 2: Convert to fraction form
    2,742.94/3,782.82 = 1,998.64/x
  3. Step 3: Cross multiply
    2,742.94x = 3,782.82 × 1,998.64
  4. Step 4: Simplify right side
    2,742.94x = 7,560,495.36
  5. Step 5: Solve for x
    x = 7,560,495.36/2,742.94
  6. Step 6: Final answer
    x = 2,756.35

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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.