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Finding the Fourth Proportional to 36,720, 50,677.92 and 21,816

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Solution

The fourth proportional to 36,720, 50,677.92 and 21,816 is: 30,108.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,720 : 50,677.92 = 21,816 : x
  2. Step 2: Convert to fraction form
    36,720/50,677.92 = 21,816/x
  3. Step 3: Cross multiply
    36,720x = 50,677.92 × 21,816
  4. Step 4: Simplify right side
    36,720x = 1,105,589,502.72
  5. Step 5: Solve for x
    x = 1,105,589,502.72/36,720
  6. Step 6: Final answer
    x = 30,108.65

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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.