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Finding the Fourth Proportional to 3,211, 4,431.21 and 1,813.78

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Solution

The fourth proportional to 3,211, 4,431.21 and 1,813.78 is: 2,503.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211 : 4,431.21 = 1,813.78 : x
  2. Step 2: Convert to fraction form
    3,211/4,431.21 = 1,813.78/x
  3. Step 3: Cross multiply
    3,211x = 4,431.21 × 1,813.78
  4. Step 4: Simplify right side
    3,211x = 8,037,240.07
  5. Step 5: Solve for x
    x = 8,037,240.07/3,211
  6. Step 6: Final answer
    x = 2,503.03

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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.