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Finding the Fourth Proportional to 3,392.43, 5,087.13 and 1,310.84

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Solution

The fourth proportional to 3,392.43, 5,087.13 and 1,310.84 is: 1,965.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,392.43 : 5,087.13 = 1,310.84 : x
  2. Step 2: Convert to fraction form
    3,392.43/5,087.13 = 1,310.84/x
  3. Step 3: Cross multiply
    3,392.43x = 5,087.13 × 1,310.84
  4. Step 4: Simplify right side
    3,392.43x = 6,668,388.05
  5. Step 5: Solve for x
    x = 6,668,388.05/3,392.43
  6. Step 6: Final answer
    x = 1,965.67

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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.