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Finding the Fourth Proportional to 3,986, 5,500.68 and 2,330

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Solution

The fourth proportional to 3,986, 5,500.68 and 2,330 is: 3,215.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986 : 5,500.68 = 2,330 : x
  2. Step 2: Convert to fraction form
    3,986/5,500.68 = 2,330/x
  3. Step 3: Cross multiply
    3,986x = 5,500.68 × 2,330
  4. Step 4: Simplify right side
    3,986x = 12,816,584.40
  5. Step 5: Solve for x
    x = 12,816,584.40/3,986
  6. Step 6: Final answer
    x = 3,215.40

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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.