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Finding the Fourth Proportional to 20,338.65, 30,505.07 and 7,864.54

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Solution

The fourth proportional to 20,338.65, 30,505.07 and 7,864.54 is: 11,795.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,338.65 : 30,505.07 = 7,864.54 : x
  2. Step 2: Convert to fraction form
    20,338.65/30,505.07 = 7,864.54/x
  3. Step 3: Cross multiply
    20,338.65x = 30,505.07 × 7,864.54
  4. Step 4: Simplify right side
    20,338.65x = 239,908,286.62
  5. Step 5: Solve for x
    x = 239,908,286.62/20,338.65
  6. Step 6: Final answer
    x = 11,795.68

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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.