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Finding the Fourth Proportional to 7,722.56, 11,581.56 and 3,338.96

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Solution

The fourth proportional to 7,722.56, 11,581.56 and 3,338.96 is: 5,007.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722.56 : 11,581.56 = 3,338.96 : x
  2. Step 2: Convert to fraction form
    7,722.56/11,581.56 = 3,338.96/x
  3. Step 3: Cross multiply
    7,722.56x = 11,581.56 × 3,338.96
  4. Step 4: Simplify right side
    7,722.56x = 38,670,365.58
  5. Step 5: Solve for x
    x = 38,670,365.58/7,722.56
  6. Step 6: Final answer
    x = 5,007.45

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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.