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Finding the Fourth Proportional to 2,450.60, 3,675.90 and 1,964.60

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Solution

The fourth proportional to 2,450.60, 3,675.90 and 1,964.60 is: 2,946.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,450.60 : 3,675.90 = 1,964.60 : x
  2. Step 2: Convert to fraction form
    2,450.60/3,675.90 = 1,964.60/x
  3. Step 3: Cross multiply
    2,450.60x = 3,675.90 × 1,964.60
  4. Step 4: Simplify right side
    2,450.60x = 7,221,673.14
  5. Step 5: Solve for x
    x = 7,221,673.14/2,450.60
  6. Step 6: Final answer
    x = 2,946.90

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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.