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Finding the Fourth Proportional to 3,361.98, 5,047.65 and 1,719.66

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Solution

The fourth proportional to 3,361.98, 5,047.65 and 1,719.66 is: 2,581.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,361.98 : 5,047.65 = 1,719.66 : x
  2. Step 2: Convert to fraction form
    3,361.98/5,047.65 = 1,719.66/x
  3. Step 3: Cross multiply
    3,361.98x = 5,047.65 × 1,719.66
  4. Step 4: Simplify right side
    3,361.98x = 8,680,241.80
  5. Step 5: Solve for x
    x = 8,680,241.80/3,361.98
  6. Step 6: Final answer
    x = 2,581.88

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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.