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Finding the Fourth Proportional to 11,755.19, 16,222.88 and 7,769.39

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Solution

The fourth proportional to 11,755.19, 16,222.88 and 7,769.39 is: 10,722.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,755.19 : 16,222.88 = 7,769.39 : x
  2. Step 2: Convert to fraction form
    11,755.19/16,222.88 = 7,769.39/x
  3. Step 3: Cross multiply
    11,755.19x = 16,222.88 × 7,769.39
  4. Step 4: Simplify right side
    11,755.19x = 126,041,819.95
  5. Step 5: Solve for x
    x = 126,041,819.95/11,755.19
  6. Step 6: Final answer
    x = 10,722.23

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1.5x scale

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.