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Finding the Fourth Proportional to 36,714, 50,669.64 and 21,810

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Solution

The fourth proportional to 36,714, 50,669.64 and 21,810 is: 30,100.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,714 : 50,669.64 = 21,810 : x
  2. Step 2: Convert to fraction form
    36,714/50,669.64 = 21,810/x
  3. Step 3: Cross multiply
    36,714x = 50,669.64 × 21,810
  4. Step 4: Simplify right side
    36,714x = 1,105,104,848.40
  5. Step 5: Solve for x
    x = 1,105,104,848.40/36,714
  6. Step 6: Final answer
    x = 30,100.37

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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.