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Finding the Fourth Proportional to 3,453.98, 5,175.50 and 2,675.84

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Solution

The fourth proportional to 3,453.98, 5,175.50 and 2,675.84 is: 4,009.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,453.98 : 5,175.50 = 2,675.84 : x
  2. Step 2: Convert to fraction form
    3,453.98/5,175.50 = 2,675.84/x
  3. Step 3: Cross multiply
    3,453.98x = 5,175.50 × 2,675.84
  4. Step 4: Simplify right side
    3,453.98x = 13,848,770.66
  5. Step 5: Solve for x
    x = 13,848,770.66/3,453.98
  6. Step 6: Final answer
    x = 4,009.52

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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.