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Finding the Fourth Proportional to 37,624, 51,922.92 and 20,857

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Solution

The fourth proportional to 37,624, 51,922.92 and 20,857 is: 28,783.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,624 : 51,922.92 = 20,857 : x
  2. Step 2: Convert to fraction form
    37,624/51,922.92 = 20,857/x
  3. Step 3: Cross multiply
    37,624x = 51,922.92 × 20,857
  4. Step 4: Simplify right side
    37,624x = 1,082,956,342.44
  5. Step 5: Solve for x
    x = 1,082,956,342.44/37,624
  6. Step 6: Final answer
    x = 28,783.66

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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.