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Finding the Fourth Proportional to 18,378, 27,578.07 and 6,692.13

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Solution

The fourth proportional to 18,378, 27,578.07 and 6,692.13 is: 10,042.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,378 : 27,578.07 = 6,692.13 : x
  2. Step 2: Convert to fraction form
    18,378/27,578.07 = 6,692.13/x
  3. Step 3: Cross multiply
    18,378x = 27,578.07 × 6,692.13
  4. Step 4: Simplify right side
    18,378x = 184,556,029.59
  5. Step 5: Solve for x
    x = 184,556,029.59/18,378
  6. Step 6: Final answer
    x = 10,042.23

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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.