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Finding the Fourth Proportional to 12,738, 17,578.44 and 7,149

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Solution

The fourth proportional to 12,738, 17,578.44 and 7,149 is: 9,865.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,738 : 17,578.44 = 7,149 : x
  2. Step 2: Convert to fraction form
    12,738/17,578.44 = 7,149/x
  3. Step 3: Cross multiply
    12,738x = 17,578.44 × 7,149
  4. Step 4: Simplify right side
    12,738x = 125,668,267.56
  5. Step 5: Solve for x
    x = 125,668,267.56/12,738
  6. Step 6: Final answer
    x = 9,865.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.