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Finding the Fourth Proportional to 37,628, 51,928.44 and 20,861

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Solution

The fourth proportional to 37,628, 51,928.44 and 20,861 is: 28,789.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,628 : 51,928.44 = 20,861 : x
  2. Step 2: Convert to fraction form
    37,628/51,928.44 = 20,861/x
  3. Step 3: Cross multiply
    37,628x = 51,928.44 × 20,861
  4. Step 4: Simplify right side
    37,628x = 1,083,279,186.84
  5. Step 5: Solve for x
    x = 1,083,279,186.84/37,628
  6. Step 6: Final answer
    x = 28,789.18

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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.