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Finding the Fourth Proportional to 39,378, 59,067 and 10,194

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Solution

The fourth proportional to 39,378, 59,067 and 10,194 is: 15,291

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,378 : 59,067 = 10,194 : x
  2. Step 2: Convert to fraction form
    39,378/59,067 = 10,194/x
  3. Step 3: Cross multiply
    39,378x = 59,067 × 10,194
  4. Step 4: Simplify right side
    39,378x = 602,128,998
  5. Step 5: Solve for x
    x = 602,128,998/39,378
  6. Step 6: Final answer
    x = 15,291

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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.