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Finding the Fourth Proportional to 12,020.83, 16,576 and 8,249.50

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Solution

The fourth proportional to 12,020.83, 16,576 and 8,249.50 is: 11,375.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,020.83 : 16,576 = 8,249.50 : x
  2. Step 2: Convert to fraction form
    12,020.83/16,576 = 8,249.50/x
  3. Step 3: Cross multiply
    12,020.83x = 16,576 × 8,249.50
  4. Step 4: Simplify right side
    12,020.83x = 136,743,712
  5. Step 5: Solve for x
    x = 136,743,712/12,020.83
  6. Step 6: Final answer
    x = 11,375.56

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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.