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Finding the Fourth Proportional to 2,751.80, 4,119.60 and 2,591.60

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Solution

The fourth proportional to 2,751.80, 4,119.60 and 2,591.60 is: 3,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.80 : 4,119.60 = 2,591.60 : x
  2. Step 2: Convert to fraction form
    2,751.80/4,119.60 = 2,591.60/x
  3. Step 3: Cross multiply
    2,751.80x = 4,119.60 × 2,591.60
  4. Step 4: Simplify right side
    2,751.80x = 10,676,355.36
  5. Step 5: Solve for x
    x = 10,676,355.36/2,751.80
  6. Step 6: Final answer
    x = 3,879.77

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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.