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Finding the Fourth Proportional to 11,369.56, 17,080.26 and 10,903

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Solution

The fourth proportional to 11,369.56, 17,080.26 and 10,903 is: 16,379.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,369.56 : 17,080.26 = 10,903 : x
  2. Step 2: Convert to fraction form
    11,369.56/17,080.26 = 10,903/x
  3. Step 3: Cross multiply
    11,369.56x = 17,080.26 × 10,903
  4. Step 4: Simplify right side
    11,369.56x = 186,226,074.78
  5. Step 5: Solve for x
    x = 186,226,074.78/11,369.56
  6. Step 6: Final answer
    x = 16,379.36

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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.