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Finding the Fourth Proportional to 2,195.01, 3,028.96 and 1,200.08

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Solution

The fourth proportional to 2,195.01, 3,028.96 and 1,200.08 is: 1,656.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.01 : 3,028.96 = 1,200.08 : x
  2. Step 2: Convert to fraction form
    2,195.01/3,028.96 = 1,200.08/x
  3. Step 3: Cross multiply
    2,195.01x = 3,028.96 × 1,200.08
  4. Step 4: Simplify right side
    2,195.01x = 3,634,994.32
  5. Step 5: Solve for x
    x = 3,634,994.32/2,195.01
  6. Step 6: Final answer
    x = 1,656.03

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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.