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Finding the Fourth Proportional to 4,276.80, 6,409.80 and 2,080.80

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Solution

The fourth proportional to 4,276.80, 6,409.80 and 2,080.80 is: 3,118.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,276.80 : 6,409.80 = 2,080.80 : x
  2. Step 2: Convert to fraction form
    4,276.80/6,409.80 = 2,080.80/x
  3. Step 3: Cross multiply
    4,276.80x = 6,409.80 × 2,080.80
  4. Step 4: Simplify right side
    4,276.80x = 13,337,511.84
  5. Step 5: Solve for x
    x = 13,337,511.84/4,276.80
  6. Step 6: Final answer
    x = 3,118.57

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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.