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Finding the Fourth Proportional to 2,805.84, 3,873.48 and 1,922

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Solution

The fourth proportional to 2,805.84, 3,873.48 and 1,922 is: 2,653.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,805.84 : 3,873.48 = 1,922 : x
  2. Step 2: Convert to fraction form
    2,805.84/3,873.48 = 1,922/x
  3. Step 3: Cross multiply
    2,805.84x = 3,873.48 × 1,922
  4. Step 4: Simplify right side
    2,805.84x = 7,444,828.56
  5. Step 5: Solve for x
    x = 7,444,828.56/2,805.84
  6. Step 6: Final answer
    x = 2,653.33

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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.