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Finding the Fourth Proportional to 19,986, 29,980.44 and 7,674

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Solution

The fourth proportional to 19,986, 29,980.44 and 7,674 is: 11,511.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,986 : 29,980.44 = 7,674 : x
  2. Step 2: Convert to fraction form
    19,986/29,980.44 = 7,674/x
  3. Step 3: Cross multiply
    19,986x = 29,980.44 × 7,674
  4. Step 4: Simplify right side
    19,986x = 230,069,896.56
  5. Step 5: Solve for x
    x = 230,069,896.56/19,986
  6. Step 6: Final answer
    x = 11,511.55

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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.