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Finding the Fourth Proportional to 7,709.96, 11,559.78 and 3,964.12

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Solution

The fourth proportional to 7,709.96, 11,559.78 and 3,964.12 is: 5,943.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.96 : 11,559.78 = 3,964.12 : x
  2. Step 2: Convert to fraction form
    7,709.96/11,559.78 = 3,964.12/x
  3. Step 3: Cross multiply
    7,709.96x = 11,559.78 × 3,964.12
  4. Step 4: Simplify right side
    7,709.96x = 45,824,355.09
  5. Step 5: Solve for x
    x = 45,824,355.09/7,709.96
  6. Step 6: Final answer
    x = 5,943.53

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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.