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Finding the Fourth Proportional to 36,880, 50,894.40 and 20,113

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Solution

The fourth proportional to 36,880, 50,894.40 and 20,113 is: 27,755.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,880 : 50,894.40 = 20,113 : x
  2. Step 2: Convert to fraction form
    36,880/50,894.40 = 20,113/x
  3. Step 3: Cross multiply
    36,880x = 50,894.40 × 20,113
  4. Step 4: Simplify right side
    36,880x = 1,023,639,067.20
  5. Step 5: Solve for x
    x = 1,023,639,067.20/36,880
  6. Step 6: Final answer
    x = 27,755.94

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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.