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Finding the Fourth Proportional to 5,381.91, 8,072.60 and 3,161.97

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Solution

The fourth proportional to 5,381.91, 8,072.60 and 3,161.97 is: 4,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,381.91 : 8,072.60 = 3,161.97 : x
  2. Step 2: Convert to fraction form
    5,381.91/8,072.60 = 3,161.97/x
  3. Step 3: Cross multiply
    5,381.91x = 8,072.60 × 3,161.97
  4. Step 4: Simplify right side
    5,381.91x = 25,525,303.21
  5. Step 5: Solve for x
    x = 25,525,303.21/5,381.91
  6. Step 6: Final answer
    x = 4,742.80

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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.