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Finding the Fourth Proportional to 37,489, 51,734.92 and 20,722

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Solution

The fourth proportional to 37,489, 51,734.92 and 20,722 is: 28,596.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,489 : 51,734.92 = 20,722 : x
  2. Step 2: Convert to fraction form
    37,489/51,734.92 = 20,722/x
  3. Step 3: Cross multiply
    37,489x = 51,734.92 × 20,722
  4. Step 4: Simplify right side
    37,489x = 1,072,051,012.24
  5. Step 5: Solve for x
    x = 1,072,051,012.24/37,489
  6. Step 6: Final answer
    x = 28,596.42

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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.