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Finding the Fourth Proportional to 2,759.87, 3,808.58 and 2,054.86

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Solution

The fourth proportional to 2,759.87, 3,808.58 and 2,054.86 is: 2,835.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.87 : 3,808.58 = 2,054.86 : x
  2. Step 2: Convert to fraction form
    2,759.87/3,808.58 = 2,054.86/x
  3. Step 3: Cross multiply
    2,759.87x = 3,808.58 × 2,054.86
  4. Step 4: Simplify right side
    2,759.87x = 7,826,078.90
  5. Step 5: Solve for x
    x = 7,826,078.90/2,759.87
  6. Step 6: Final answer
    x = 2,835.67

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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.