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Finding the Fourth Proportional to 37,686, 52,007.29 and 20,919

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Solution

The fourth proportional to 37,686, 52,007.29 and 20,919 is: 28,868.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,686 : 52,007.29 = 20,919 : x
  2. Step 2: Convert to fraction form
    37,686/52,007.29 = 20,919/x
  3. Step 3: Cross multiply
    37,686x = 52,007.29 × 20,919
  4. Step 4: Simplify right side
    37,686x = 1,087,940,447.21
  5. Step 5: Solve for x
    x = 1,087,940,447.21/37,686
  6. Step 6: Final answer
    x = 28,868.56

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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.