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Finding the Fourth Proportional to 36,581, 50,481.80 and 19,814

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Solution

The fourth proportional to 36,581, 50,481.80 and 19,814 is: 27,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,581 : 50,481.80 = 19,814 : x
  2. Step 2: Convert to fraction form
    36,581/50,481.80 = 19,814/x
  3. Step 3: Cross multiply
    36,581x = 50,481.80 × 19,814
  4. Step 4: Simplify right side
    36,581x = 1,000,246,385.20
  5. Step 5: Solve for x
    x = 1,000,246,385.20/36,581
  6. Step 6: Final answer
    x = 27,343.33

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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.