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Finding the Fourth Proportional to 2,883.51, 3,978.09 and 1,821.02

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Solution

The fourth proportional to 2,883.51, 3,978.09 and 1,821.02 is: 2,512.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,883.51 : 3,978.09 = 1,821.02 : x
  2. Step 2: Convert to fraction form
    2,883.51/3,978.09 = 1,821.02/x
  3. Step 3: Cross multiply
    2,883.51x = 3,978.09 × 1,821.02
  4. Step 4: Simplify right side
    2,883.51x = 7,244,161.56
  5. Step 5: Solve for x
    x = 7,244,161.56/2,883.51
  6. Step 6: Final answer
    x = 2,512.27

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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.