Home / 1,974.82-2,725.80-1,228.34

Finding the Fourth Proportional to 1,974.82, 2,725.80 and 1,228.34

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Solution

The fourth proportional to 1,974.82, 2,725.80 and 1,228.34 is: 1,695.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.82 : 2,725.80 = 1,228.34 : x
  2. Step 2: Convert to fraction form
    1,974.82/2,725.80 = 1,228.34/x
  3. Step 3: Cross multiply
    1,974.82x = 2,725.80 × 1,228.34
  4. Step 4: Simplify right side
    1,974.82x = 3,348,193.94
  5. Step 5: Solve for x
    x = 3,348,193.94/1,974.82
  6. Step 6: Final answer
    x = 1,695.44

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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.