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Finding the Fourth Proportional to 3,318, 4,578 and 2,137.64

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Solution

The fourth proportional to 3,318, 4,578 and 2,137.64 is: 2,949.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,318 : 4,578 = 2,137.64 : x
  2. Step 2: Convert to fraction form
    3,318/4,578 = 2,137.64/x
  3. Step 3: Cross multiply
    3,318x = 4,578 × 2,137.64
  4. Step 4: Simplify right side
    3,318x = 9,786,115.92
  5. Step 5: Solve for x
    x = 9,786,115.92/3,318
  6. Step 6: Final answer
    x = 2,949.40

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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.