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Finding the Fourth Proportional to 20,536.63, 30,786.48 and 7,379.80

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Solution

The fourth proportional to 20,536.63, 30,786.48 and 7,379.80 is: 11,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,536.63 : 30,786.48 = 7,379.80 : x
  2. Step 2: Convert to fraction form
    20,536.63/30,786.48 = 7,379.80/x
  3. Step 3: Cross multiply
    20,536.63x = 30,786.48 × 7,379.80
  4. Step 4: Simplify right side
    20,536.63x = 227,197,988.14
  5. Step 5: Solve for x
    x = 227,197,988.14/20,536.63
  6. Step 6: Final answer
    x = 11,063.06

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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.