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Finding the Fourth Proportional to 6,986, 9,640.68 and 4,042

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Solution

The fourth proportional to 6,986, 9,640.68 and 4,042 is: 5,577.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,986 : 9,640.68 = 4,042 : x
  2. Step 2: Convert to fraction form
    6,986/9,640.68 = 4,042/x
  3. Step 3: Cross multiply
    6,986x = 9,640.68 × 4,042
  4. Step 4: Simplify right side
    6,986x = 38,967,628.56
  5. Step 5: Solve for x
    x = 38,967,628.56/6,986
  6. Step 6: Final answer
    x = 5,577.96

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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.