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Finding the Fourth Proportional to 2,705.80, 3,735.54 and 1,958.98

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Solution

The fourth proportional to 2,705.80, 3,735.54 and 1,958.98 is: 2,704.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,705.80 : 3,735.54 = 1,958.98 : x
  2. Step 2: Convert to fraction form
    2,705.80/3,735.54 = 1,958.98/x
  3. Step 3: Cross multiply
    2,705.80x = 3,735.54 × 1,958.98
  4. Step 4: Simplify right side
    2,705.80x = 7,317,848.15
  5. Step 5: Solve for x
    x = 7,317,848.15/2,705.80
  6. Step 6: Final answer
    x = 2,704.50

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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.