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Finding the Fourth Proportional to 11,614.36, 16,034.46 and 7,647

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Solution

The fourth proportional to 11,614.36, 16,034.46 and 7,647 is: 10,557.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.36 : 16,034.46 = 7,647 : x
  2. Step 2: Convert to fraction form
    11,614.36/16,034.46 = 7,647/x
  3. Step 3: Cross multiply
    11,614.36x = 16,034.46 × 7,647
  4. Step 4: Simplify right side
    11,614.36x = 122,615,515.62
  5. Step 5: Solve for x
    x = 122,615,515.62/11,614.36
  6. Step 6: Final answer
    x = 10,557.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.