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Finding the Fourth Proportional to 11,375.86, 17,063.77 and 5,138.06

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Solution

The fourth proportional to 11,375.86, 17,063.77 and 5,138.06 is: 7,707.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.86 : 17,063.77 = 5,138.06 : x
  2. Step 2: Convert to fraction form
    11,375.86/17,063.77 = 5,138.06/x
  3. Step 3: Cross multiply
    11,375.86x = 17,063.77 × 5,138.06
  4. Step 4: Simplify right side
    11,375.86x = 87,674,674.09
  5. Step 5: Solve for x
    x = 87,674,674.09/11,375.86
  6. Step 6: Final answer
    x = 7,707.08

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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.