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Finding the Fourth Proportional to 51,717, 71,369.46 and 28,165

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Solution

The fourth proportional to 51,717, 71,369.46 and 28,165 is: 38,867.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,717 : 71,369.46 = 28,165 : x
  2. Step 2: Convert to fraction form
    51,717/71,369.46 = 28,165/x
  3. Step 3: Cross multiply
    51,717x = 71,369.46 × 28,165
  4. Step 4: Simplify right side
    51,717x = 2,010,120,840.90
  5. Step 5: Solve for x
    x = 2,010,120,840.90/51,717
  6. Step 6: Final answer
    x = 38,867.70

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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.