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Finding the Fourth Proportional to 3,042.50, 4,198.62 and 1,784.22

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Solution

The fourth proportional to 3,042.50, 4,198.62 and 1,784.22 is: 2,462.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,042.50 : 4,198.62 = 1,784.22 : x
  2. Step 2: Convert to fraction form
    3,042.50/4,198.62 = 1,784.22/x
  3. Step 3: Cross multiply
    3,042.50x = 4,198.62 × 1,784.22
  4. Step 4: Simplify right side
    3,042.50x = 7,491,261.78
  5. Step 5: Solve for x
    x = 7,491,261.78/3,042.50
  6. Step 6: Final answer
    x = 2,462.21

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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.