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Finding the Fourth Proportional to 36,814, 50,800.12 and 20,899.12

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Solution

The fourth proportional to 36,814, 50,800.12 and 20,899.12 is: 28,838.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,814 : 50,800.12 = 20,899.12 : x
  2. Step 2: Convert to fraction form
    36,814/50,800.12 = 20,899.12/x
  3. Step 3: Cross multiply
    36,814x = 50,800.12 × 20,899.12
  4. Step 4: Simplify right side
    36,814x = 1,061,677,803.89
  5. Step 5: Solve for x
    x = 1,061,677,803.89/36,814
  6. Step 6: Final answer
    x = 28,838.97

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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.