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Finding the Fourth Proportional to 15,463, 23,163.78 and 7,647.96

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Solution

The fourth proportional to 15,463, 23,163.78 and 7,647.96 is: 11,456.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,463 : 23,163.78 = 7,647.96 : x
  2. Step 2: Convert to fraction form
    15,463/23,163.78 = 7,647.96/x
  3. Step 3: Cross multiply
    15,463x = 23,163.78 × 7,647.96
  4. Step 4: Simplify right side
    15,463x = 177,155,662.89
  5. Step 5: Solve for x
    x = 177,155,662.89/15,463
  6. Step 6: Final answer
    x = 11,456.75

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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.