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Finding the Fourth Proportional to 51,650, 71,277 and 28,098

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Solution

The fourth proportional to 51,650, 71,277 and 28,098 is: 38,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,650 : 71,277 = 28,098 : x
  2. Step 2: Convert to fraction form
    51,650/71,277 = 28,098/x
  3. Step 3: Cross multiply
    51,650x = 71,277 × 28,098
  4. Step 4: Simplify right side
    51,650x = 2,002,741,146
  5. Step 5: Solve for x
    x = 2,002,741,146/51,650
  6. Step 6: Final answer
    x = 38,775.24

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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.