Home / 2,005.75-2,768.54-1,121.84

Finding the Fourth Proportional to 2,005.75, 2,768.54 and 1,121.84

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Solution

The fourth proportional to 2,005.75, 2,768.54 and 1,121.84 is: 1,548.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.75 : 2,768.54 = 1,121.84 : x
  2. Step 2: Convert to fraction form
    2,005.75/2,768.54 = 1,121.84/x
  3. Step 3: Cross multiply
    2,005.75x = 2,768.54 × 1,121.84
  4. Step 4: Simplify right side
    2,005.75x = 3,105,858.91
  5. Step 5: Solve for x
    x = 3,105,858.91/2,005.75
  6. Step 6: Final answer
    x = 1,548.48

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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.