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Finding the Fourth Proportional to 2,134.50, 2,945.61 and 1,190.22

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Solution

The fourth proportional to 2,134.50, 2,945.61 and 1,190.22 is: 1,642.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,134.50 : 2,945.61 = 1,190.22 : x
  2. Step 2: Convert to fraction form
    2,134.50/2,945.61 = 1,190.22/x
  3. Step 3: Cross multiply
    2,134.50x = 2,945.61 × 1,190.22
  4. Step 4: Simplify right side
    2,134.50x = 3,505,923.93
  5. Step 5: Solve for x
    x = 3,505,923.93/2,134.50
  6. Step 6: Final answer
    x = 1,642.50

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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.