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Finding the Fourth Proportional to 2,381.18, 3,571.80 and 919.54

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Solution

The fourth proportional to 2,381.18, 3,571.80 and 919.54 is: 1,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,381.18 : 3,571.80 = 919.54 : x
  2. Step 2: Convert to fraction form
    2,381.18/3,571.80 = 919.54/x
  3. Step 3: Cross multiply
    2,381.18x = 3,571.80 × 919.54
  4. Step 4: Simplify right side
    2,381.18x = 3,284,412.97
  5. Step 5: Solve for x
    x = 3,284,412.97/2,381.18
  6. Step 6: Final answer
    x = 1,379.32

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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.