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Finding the Fourth Proportional to 12,514.50, 18,772.38 and 3,749.49

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Solution

The fourth proportional to 12,514.50, 18,772.38 and 3,749.49 is: 5,624.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,514.50 : 18,772.38 = 3,749.49 : x
  2. Step 2: Convert to fraction form
    12,514.50/18,772.38 = 3,749.49/x
  3. Step 3: Cross multiply
    12,514.50x = 18,772.38 × 3,749.49
  4. Step 4: Simplify right side
    12,514.50x = 70,386,851.09
  5. Step 5: Solve for x
    x = 70,386,851.09/12,514.50
  6. Step 6: Final answer
    x = 5,624.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.