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Finding the Fourth Proportional to 2,811.21, 4,213.99 and 961.07

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Solution

The fourth proportional to 2,811.21, 4,213.99 and 961.07 is: 1,440.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,811.21 : 4,213.99 = 961.07 : x
  2. Step 2: Convert to fraction form
    2,811.21/4,213.99 = 961.07/x
  3. Step 3: Cross multiply
    2,811.21x = 4,213.99 × 961.07
  4. Step 4: Simplify right side
    2,811.21x = 4,049,939.37
  5. Step 5: Solve for x
    x = 4,049,939.37/2,811.21
  6. Step 6: Final answer
    x = 1,440.64

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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.