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Finding the Fourth Proportional to 15,568, 23,352.21 and 5,179.75

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Solution

The fourth proportional to 15,568, 23,352.21 and 5,179.75 is: 7,769.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,568 : 23,352.21 = 5,179.75 : x
  2. Step 2: Convert to fraction form
    15,568/23,352.21 = 5,179.75/x
  3. Step 3: Cross multiply
    15,568x = 23,352.21 × 5,179.75
  4. Step 4: Simplify right side
    15,568x = 120,958,583.85
  5. Step 5: Solve for x
    x = 120,958,583.85/15,568
  6. Step 6: Final answer
    x = 7,769.69

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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.