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Finding the Fourth Proportional to 3,811.54, 5,716.08 and 1,213.88

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Solution

The fourth proportional to 3,811.54, 5,716.08 and 1,213.88 is: 1,820.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.54 : 5,716.08 = 1,213.88 : x
  2. Step 2: Convert to fraction form
    3,811.54/5,716.08 = 1,213.88/x
  3. Step 3: Cross multiply
    3,811.54x = 5,716.08 × 1,213.88
  4. Step 4: Simplify right side
    3,811.54x = 6,938,635.19
  5. Step 5: Solve for x
    x = 6,938,635.19/3,811.54
  6. Step 6: Final answer
    x = 1,820.43

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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.