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Finding the Fourth Proportional to 37,576, 51,858.66 and 20,809

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Solution

The fourth proportional to 37,576, 51,858.66 and 20,809 is: 28,718.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,576 : 51,858.66 = 20,809 : x
  2. Step 2: Convert to fraction form
    37,576/51,858.66 = 20,809/x
  3. Step 3: Cross multiply
    37,576x = 51,858.66 × 20,809
  4. Step 4: Simplify right side
    37,576x = 1,079,126,855.94
  5. Step 5: Solve for x
    x = 1,079,126,855.94/37,576
  6. Step 6: Final answer
    x = 28,718.51

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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.