Home / 18,214.68-27,316.62-7,824

Finding the Fourth Proportional to 18,214.68, 27,316.62 and 7,824

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Solution

The fourth proportional to 18,214.68, 27,316.62 and 7,824 is: 11,733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,214.68 : 27,316.62 = 7,824 : x
  2. Step 2: Convert to fraction form
    18,214.68/27,316.62 = 7,824/x
  3. Step 3: Cross multiply
    18,214.68x = 27,316.62 × 7,824
  4. Step 4: Simplify right side
    18,214.68x = 213,725,234.88
  5. Step 5: Solve for x
    x = 213,725,234.88/18,214.68
  6. Step 6: Final answer
    x = 11,733.68

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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.