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Finding the Fourth Proportional to 18,609, 27,897 and 6,914.01

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Solution

The fourth proportional to 18,609, 27,897 and 6,914.01 is: 10,364.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,609 : 27,897 = 6,914.01 : x
  2. Step 2: Convert to fraction form
    18,609/27,897 = 6,914.01/x
  3. Step 3: Cross multiply
    18,609x = 27,897 × 6,914.01
  4. Step 4: Simplify right side
    18,609x = 192,880,136.97
  5. Step 5: Solve for x
    x = 192,880,136.97/18,609
  6. Step 6: Final answer
    x = 10,364.88

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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.