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Finding the Fourth Proportional to 11,756, 16,223.24 and 6,450.80

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Solution

The fourth proportional to 11,756, 16,223.24 and 6,450.80 is: 8,902.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,756 : 16,223.24 = 6,450.80 : x
  2. Step 2: Convert to fraction form
    11,756/16,223.24 = 6,450.80/x
  3. Step 3: Cross multiply
    11,756x = 16,223.24 × 6,450.80
  4. Step 4: Simplify right side
    11,756x = 104,652,876.59
  5. Step 5: Solve for x
    x = 104,652,876.59/11,756
  6. Step 6: Final answer
    x = 8,902.08

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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.