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Finding the Fourth Proportional to 14,249.92, 21,379.74 and 7,676.78

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Solution

The fourth proportional to 14,249.92, 21,379.74 and 7,676.78 is: 11,517.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,249.92 : 21,379.74 = 7,676.78 : x
  2. Step 2: Convert to fraction form
    14,249.92/21,379.74 = 7,676.78/x
  3. Step 3: Cross multiply
    14,249.92x = 21,379.74 × 7,676.78
  4. Step 4: Simplify right side
    14,249.92x = 164,127,560.44
  5. Step 5: Solve for x
    x = 164,127,560.44/14,249.92
  6. Step 6: Final answer
    x = 11,517.79

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1.5x scale

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.