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Finding the Fourth Proportional to 2,777.68, 3,829.44 and 1,891.92

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Solution

The fourth proportional to 2,777.68, 3,829.44 and 1,891.92 is: 2,608.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,777.68 : 3,829.44 = 1,891.92 : x
  2. Step 2: Convert to fraction form
    2,777.68/3,829.44 = 1,891.92/x
  3. Step 3: Cross multiply
    2,777.68x = 3,829.44 × 1,891.92
  4. Step 4: Simplify right side
    2,777.68x = 7,244,994.12
  5. Step 5: Solve for x
    x = 7,244,994.12/2,777.68
  6. Step 6: Final answer
    x = 2,608.29

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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.