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Finding the Fourth Proportional to 6,450.80, 9,676.20 and 3,984.08

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Solution

The fourth proportional to 6,450.80, 9,676.20 and 3,984.08 is: 5,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,450.80 : 9,676.20 = 3,984.08 : x
  2. Step 2: Convert to fraction form
    6,450.80/9,676.20 = 3,984.08/x
  3. Step 3: Cross multiply
    6,450.80x = 9,676.20 × 3,984.08
  4. Step 4: Simplify right side
    6,450.80x = 38,550,754.90
  5. Step 5: Solve for x
    x = 38,550,754.90/6,450.80
  6. Step 6: Final answer
    x = 5,976.12

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1.5x scale

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.