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Finding the Fourth Proportional to 7,774.99, 11,659.05 and 2,227.07

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Solution

The fourth proportional to 7,774.99, 11,659.05 and 2,227.07 is: 3,339.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.99 : 11,659.05 = 2,227.07 : x
  2. Step 2: Convert to fraction form
    7,774.99/11,659.05 = 2,227.07/x
  3. Step 3: Cross multiply
    7,774.99x = 11,659.05 × 2,227.07
  4. Step 4: Simplify right side
    7,774.99x = 25,965,520.48
  5. Step 5: Solve for x
    x = 25,965,520.48/7,774.99
  6. Step 6: Final answer
    x = 3,339.62

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Double scale
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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.