Home / 2,205.49-3,042.97-1,420

Finding the Fourth Proportional to 2,205.49, 3,042.97 and 1,420

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Solution

The fourth proportional to 2,205.49, 3,042.97 and 1,420 is: 1,959.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.49 : 3,042.97 = 1,420 : x
  2. Step 2: Convert to fraction form
    2,205.49/3,042.97 = 1,420/x
  3. Step 3: Cross multiply
    2,205.49x = 3,042.97 × 1,420
  4. Step 4: Simplify right side
    2,205.49x = 4,321,017.40
  5. Step 5: Solve for x
    x = 4,321,017.40/2,205.49
  6. Step 6: Final answer
    x = 1,959.21

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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.