Home / 2,205.84-3,044.22-1,419.75

Finding the Fourth Proportional to 2,205.84, 3,044.22 and 1,419.75

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Solution

The fourth proportional to 2,205.84, 3,044.22 and 1,419.75 is: 1,959.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.84 : 3,044.22 = 1,419.75 : x
  2. Step 2: Convert to fraction form
    2,205.84/3,044.22 = 1,419.75/x
  3. Step 3: Cross multiply
    2,205.84x = 3,044.22 × 1,419.75
  4. Step 4: Simplify right side
    2,205.84x = 4,322,031.35
  5. Step 5: Solve for x
    x = 4,322,031.35/2,205.84
  6. Step 6: Final answer
    x = 1,959.36

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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.