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Finding the Fourth Proportional to 3,964.60, 5,940.60 and 2,113.30

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Solution

The fourth proportional to 3,964.60, 5,940.60 and 2,113.30 is: 3,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.60 : 5,940.60 = 2,113.30 : x
  2. Step 2: Convert to fraction form
    3,964.60/5,940.60 = 2,113.30/x
  3. Step 3: Cross multiply
    3,964.60x = 5,940.60 × 2,113.30
  4. Step 4: Simplify right side
    3,964.60x = 12,554,269.98
  5. Step 5: Solve for x
    x = 12,554,269.98/3,964.60
  6. Step 6: Final answer
    x = 3,166.59

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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.