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Finding the Fourth Proportional to 7,760.09, 11,640.50 and 2,213.82

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Solution

The fourth proportional to 7,760.09, 11,640.50 and 2,213.82 is: 3,320.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,760.09 : 11,640.50 = 2,213.82 : x
  2. Step 2: Convert to fraction form
    7,760.09/11,640.50 = 2,213.82/x
  3. Step 3: Cross multiply
    7,760.09x = 11,640.50 × 2,213.82
  4. Step 4: Simplify right side
    7,760.09x = 25,769,960.64
  5. Step 5: Solve for x
    x = 25,769,960.64/7,760.09
  6. Step 6: Final answer
    x = 3,320.83

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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.