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Finding the Fourth Proportional to 4,678.62, 7,022.01 and 1,906.80

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Solution

The fourth proportional to 4,678.62, 7,022.01 and 1,906.80 is: 2,861.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,678.62 : 7,022.01 = 1,906.80 : x
  2. Step 2: Convert to fraction form
    4,678.62/7,022.01 = 1,906.80/x
  3. Step 3: Cross multiply
    4,678.62x = 7,022.01 × 1,906.80
  4. Step 4: Simplify right side
    4,678.62x = 13,389,568.67
  5. Step 5: Solve for x
    x = 13,389,568.67/4,678.62
  6. Step 6: Final answer
    x = 2,861.86

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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.