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Finding the Fourth Proportional to 3,994.91, 5,515 and 3,096.67

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Solution

The fourth proportional to 3,994.91, 5,515 and 3,096.67 is: 4,274.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.91 : 5,515 = 3,096.67 : x
  2. Step 2: Convert to fraction form
    3,994.91/5,515 = 3,096.67/x
  3. Step 3: Cross multiply
    3,994.91x = 5,515 × 3,096.67
  4. Step 4: Simplify right side
    3,994.91x = 17,078,135.05
  5. Step 5: Solve for x
    x = 17,078,135.05/3,994.91
  6. Step 6: Final answer
    x = 4,274.97

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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.