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Finding the Fourth Proportional to 3,381.58, 5,072.37 and 1,189.81

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Solution

The fourth proportional to 3,381.58, 5,072.37 and 1,189.81 is: 1,784.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,381.58 : 5,072.37 = 1,189.81 : x
  2. Step 2: Convert to fraction form
    3,381.58/5,072.37 = 1,189.81/x
  3. Step 3: Cross multiply
    3,381.58x = 5,072.37 × 1,189.81
  4. Step 4: Simplify right side
    3,381.58x = 6,035,131.19
  5. Step 5: Solve for x
    x = 6,035,131.19/3,381.58
  6. Step 6: Final answer
    x = 1,784.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.