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Finding the Fourth Proportional to 2,195.01, 3,029.00 and 1,200.09

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Solution

The fourth proportional to 2,195.01, 3,029.00 and 1,200.09 is: 1,656.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,195.01 : 3,029.00 = 1,200.09 : x
  2. Step 2: Convert to fraction form
    2,195.01/3,029.00 = 1,200.09/x
  3. Step 3: Cross multiply
    2,195.01x = 3,029.00 × 1,200.09
  4. Step 4: Simplify right side
    2,195.01x = 3,635,066.61
  5. Step 5: Solve for x
    x = 3,635,066.61/2,195.01
  6. Step 6: Final answer
    x = 1,656.06

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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.