Home / 2,822.75-3,894.50-1,828.79

Finding the Fourth Proportional to 2,822.75, 3,894.50 and 1,828.79

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Solution

The fourth proportional to 2,822.75, 3,894.50 and 1,828.79 is: 2,523.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,822.75 : 3,894.50 = 1,828.79 : x
  2. Step 2: Convert to fraction form
    2,822.75/3,894.50 = 1,828.79/x
  3. Step 3: Cross multiply
    2,822.75x = 3,894.50 × 1,828.79
  4. Step 4: Simplify right side
    2,822.75x = 7,122,213.51
  5. Step 5: Solve for x
    x = 7,122,213.51/2,822.75
  6. Step 6: Final answer
    x = 2,523.15

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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.