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Finding the Fourth Proportional to 18,661.69, 27,984.25 and 9,894.55

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Solution

The fourth proportional to 18,661.69, 27,984.25 and 9,894.55 is: 14,837.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,661.69 : 27,984.25 = 9,894.55 : x
  2. Step 2: Convert to fraction form
    18,661.69/27,984.25 = 9,894.55/x
  3. Step 3: Cross multiply
    18,661.69x = 27,984.25 × 9,894.55
  4. Step 4: Simplify right side
    18,661.69x = 276,891,396.18
  5. Step 5: Solve for x
    x = 276,891,396.18/18,661.69
  6. Step 6: Final answer
    x = 14,837.43

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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.