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Finding the Fourth Proportional to 2,857.82, 3,943.06 and 1,795.76

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Solution

The fourth proportional to 2,857.82, 3,943.06 and 1,795.76 is: 2,477.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.82 : 3,943.06 = 1,795.76 : x
  2. Step 2: Convert to fraction form
    2,857.82/3,943.06 = 1,795.76/x
  3. Step 3: Cross multiply
    2,857.82x = 3,943.06 × 1,795.76
  4. Step 4: Simplify right side
    2,857.82x = 7,080,765.22
  5. Step 5: Solve for x
    x = 7,080,765.22/2,857.82
  6. Step 6: Final answer
    x = 2,477.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.