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Finding the Fourth Proportional to 6,976.49, 9,626.33 and 3,991.67

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Solution

The fourth proportional to 6,976.49, 9,626.33 and 3,991.67 is: 5,507.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.49 : 9,626.33 = 3,991.67 : x
  2. Step 2: Convert to fraction form
    6,976.49/9,626.33 = 3,991.67/x
  3. Step 3: Cross multiply
    6,976.49x = 9,626.33 × 3,991.67
  4. Step 4: Simplify right side
    6,976.49x = 38,425,064.58
  5. Step 5: Solve for x
    x = 38,425,064.58/6,976.49
  6. Step 6: Final answer
    x = 5,507.79

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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.