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Finding the Fourth Proportional to 2,205.52, 3,043.65 and 1,419.82

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Solution

The fourth proportional to 2,205.52, 3,043.65 and 1,419.82 is: 1,959.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.52 : 3,043.65 = 1,419.82 : x
  2. Step 2: Convert to fraction form
    2,205.52/3,043.65 = 1,419.82/x
  3. Step 3: Cross multiply
    2,205.52x = 3,043.65 × 1,419.82
  4. Step 4: Simplify right side
    2,205.52x = 4,321,435.14
  5. Step 5: Solve for x
    x = 4,321,435.14/2,205.52
  6. Step 6: Final answer
    x = 1,959.37

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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.