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Finding the Fourth Proportional to 1,998.55, 2,759.01 and 1,202.32

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Solution

The fourth proportional to 1,998.55, 2,759.01 and 1,202.32 is: 1,659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,998.55 : 2,759.01 = 1,202.32 : x
  2. Step 2: Convert to fraction form
    1,998.55/2,759.01 = 1,202.32/x
  3. Step 3: Cross multiply
    1,998.55x = 2,759.01 × 1,202.32
  4. Step 4: Simplify right side
    1,998.55x = 3,317,212.90
  5. Step 5: Solve for x
    x = 3,317,212.90/1,998.55
  6. Step 6: Final answer
    x = 1,659.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.