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Finding the Fourth Proportional to 2,891.44, 3,986.04 and 2,062

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Solution

The fourth proportional to 2,891.44, 3,986.04 and 2,062 is: 2,842.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,891.44 : 3,986.04 = 2,062 : x
  2. Step 2: Convert to fraction form
    2,891.44/3,986.04 = 2,062/x
  3. Step 3: Cross multiply
    2,891.44x = 3,986.04 × 2,062
  4. Step 4: Simplify right side
    2,891.44x = 8,219,214.48
  5. Step 5: Solve for x
    x = 8,219,214.48/2,891.44
  6. Step 6: Final answer
    x = 2,842.60

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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.