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Finding the Fourth Proportional to 6,722.94, 9,278.25 and 3,739.38

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Solution

The fourth proportional to 6,722.94, 9,278.25 and 3,739.38 is: 5,160.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,722.94 : 9,278.25 = 3,739.38 : x
  2. Step 2: Convert to fraction form
    6,722.94/9,278.25 = 3,739.38/x
  3. Step 3: Cross multiply
    6,722.94x = 9,278.25 × 3,739.38
  4. Step 4: Simplify right side
    6,722.94x = 34,694,902.49
  5. Step 5: Solve for x
    x = 34,694,902.49/6,722.94
  6. Step 6: Final answer
    x = 5,160.67

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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.