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Finding the Fourth Proportional to 2,203.41, 3,276.78 and 2,134.20

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Solution

The fourth proportional to 2,203.41, 3,276.78 and 2,134.20 is: 3,173.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,203.41 : 3,276.78 = 2,134.20 : x
  2. Step 2: Convert to fraction form
    2,203.41/3,276.78 = 2,134.20/x
  3. Step 3: Cross multiply
    2,203.41x = 3,276.78 × 2,134.20
  4. Step 4: Simplify right side
    2,203.41x = 6,993,303.88
  5. Step 5: Solve for x
    x = 6,993,303.88/2,203.41
  6. Step 6: Final answer
    x = 3,173.86

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.