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Finding the Fourth Proportional to 3,475.88, 5,213.82 and 2,105

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Solution

The fourth proportional to 3,475.88, 5,213.82 and 2,105 is: 3,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.88 : 5,213.82 = 2,105 : x
  2. Step 2: Convert to fraction form
    3,475.88/5,213.82 = 2,105/x
  3. Step 3: Cross multiply
    3,475.88x = 5,213.82 × 2,105
  4. Step 4: Simplify right side
    3,475.88x = 10,975,091.10
  5. Step 5: Solve for x
    x = 10,975,091.10/3,475.88
  6. Step 6: Final answer
    x = 3,157.50

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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.