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Finding the Fourth Proportional to 36,780, 50,756.40 and 20,013.12

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Solution

The fourth proportional to 36,780, 50,756.40 and 20,013.12 is: 27,618.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,780 : 50,756.40 = 20,013.12 : x
  2. Step 2: Convert to fraction form
    36,780/50,756.40 = 20,013.12/x
  3. Step 3: Cross multiply
    36,780x = 50,756.40 × 20,013.12
  4. Step 4: Simplify right side
    36,780x = 1,015,793,923.97
  5. Step 5: Solve for x
    x = 1,015,793,923.97/36,780
  6. Step 6: Final answer
    x = 27,618.11

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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.