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Finding the Fourth Proportional to 1,813.82, 2,720.72 and 1,201.41

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Solution

The fourth proportional to 1,813.82, 2,720.72 and 1,201.41 is: 1,802.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,813.82 : 2,720.72 = 1,201.41 : x
  2. Step 2: Convert to fraction form
    1,813.82/2,720.72 = 1,201.41/x
  3. Step 3: Cross multiply
    1,813.82x = 2,720.72 × 1,201.41
  4. Step 4: Simplify right side
    1,813.82x = 3,268,703.22
  5. Step 5: Solve for x
    x = 3,268,703.22/1,813.82
  6. Step 6: Final answer
    x = 1,802.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.