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Finding the Fourth Proportional to 6,805.80, 10,202.92 and 3,106.73

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Solution

The fourth proportional to 6,805.80, 10,202.92 and 3,106.73 is: 4,657.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.80 : 10,202.92 = 3,106.73 : x
  2. Step 2: Convert to fraction form
    6,805.80/10,202.92 = 3,106.73/x
  3. Step 3: Cross multiply
    6,805.80x = 10,202.92 × 3,106.73
  4. Step 4: Simplify right side
    6,805.80x = 31,697,717.65
  5. Step 5: Solve for x
    x = 31,697,717.65/6,805.80
  6. Step 6: Final answer
    x = 4,657.46

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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.