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Finding the Fourth Proportional to 3,423.70, 5,137.17 and 1,964.08

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Solution

The fourth proportional to 3,423.70, 5,137.17 and 1,964.08 is: 2,947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,423.70 : 5,137.17 = 1,964.08 : x
  2. Step 2: Convert to fraction form
    3,423.70/5,137.17 = 1,964.08/x
  3. Step 3: Cross multiply
    3,423.70x = 5,137.17 × 1,964.08
  4. Step 4: Simplify right side
    3,423.70x = 10,089,812.85
  5. Step 5: Solve for x
    x = 10,089,812.85/3,423.70
  6. Step 6: Final answer
    x = 2,947.05

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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.