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Finding the Fourth Proportional to 7,753.70, 11,628.79 and 2,206.92

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Solution

The fourth proportional to 7,753.70, 11,628.79 and 2,206.92 is: 3,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,753.70 : 11,628.79 = 2,206.92 : x
  2. Step 2: Convert to fraction form
    7,753.70/11,628.79 = 2,206.92/x
  3. Step 3: Cross multiply
    7,753.70x = 11,628.79 × 2,206.92
  4. Step 4: Simplify right side
    7,753.70x = 25,663,781.91
  5. Step 5: Solve for x
    x = 25,663,781.91/7,753.70
  6. Step 6: Final answer
    x = 3,309.88

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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.