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Finding the Fourth Proportional to 20,550, 30,827.43 and 6,699

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Solution

The fourth proportional to 20,550, 30,827.43 and 6,699 is: 10,049.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,550 : 30,827.43 = 6,699 : x
  2. Step 2: Convert to fraction form
    20,550/30,827.43 = 6,699/x
  3. Step 3: Cross multiply
    20,550x = 30,827.43 × 6,699
  4. Step 4: Simplify right side
    20,550x = 206,512,953.57
  5. Step 5: Solve for x
    x = 206,512,953.57/20,550
  6. Step 6: Final answer
    x = 10,049.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.