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Finding the Fourth Proportional to 3,290.87, 4,539.89 and 1,964.09

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Solution

The fourth proportional to 3,290.87, 4,539.89 and 1,964.09 is: 2,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,290.87 : 4,539.89 = 1,964.09 : x
  2. Step 2: Convert to fraction form
    3,290.87/4,539.89 = 1,964.09/x
  3. Step 3: Cross multiply
    3,290.87x = 4,539.89 × 1,964.09
  4. Step 4: Simplify right side
    3,290.87x = 8,916,768.81
  5. Step 5: Solve for x
    x = 8,916,768.81/3,290.87
  6. Step 6: Final answer
    x = 2,709.55

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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.