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Finding the Fourth Proportional to 6,080.25, 8,390.25 and 3,428.31

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Solution

The fourth proportional to 6,080.25, 8,390.25 and 3,428.31 is: 4,730.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,080.25 : 8,390.25 = 3,428.31 : x
  2. Step 2: Convert to fraction form
    6,080.25/8,390.25 = 3,428.31/x
  3. Step 3: Cross multiply
    6,080.25x = 8,390.25 × 3,428.31
  4. Step 4: Simplify right side
    6,080.25x = 28,764,377.98
  5. Step 5: Solve for x
    x = 28,764,377.98/6,080.25
  6. Step 6: Final answer
    x = 4,730.79

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1.5x scale

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.