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Finding the Fourth Proportional to 3,286, 4,534.74 and 1,793.96

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Solution

The fourth proportional to 3,286, 4,534.74 and 1,793.96 is: 2,475.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286 : 4,534.74 = 1,793.96 : x
  2. Step 2: Convert to fraction form
    3,286/4,534.74 = 1,793.96/x
  3. Step 3: Cross multiply
    3,286x = 4,534.74 × 1,793.96
  4. Step 4: Simplify right side
    3,286x = 8,135,142.17
  5. Step 5: Solve for x
    x = 8,135,142.17/3,286
  6. Step 6: Final answer
    x = 2,475.70

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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.