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Finding the Fourth Proportional to 1,811.62, 2,716.86 and 512.74

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Solution

The fourth proportional to 1,811.62, 2,716.86 and 512.74 is: 768.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,811.62 : 2,716.86 = 512.74 : x
  2. Step 2: Convert to fraction form
    1,811.62/2,716.86 = 512.74/x
  3. Step 3: Cross multiply
    1,811.62x = 2,716.86 × 512.74
  4. Step 4: Simplify right side
    1,811.62x = 1,393,042.80
  5. Step 5: Solve for x
    x = 1,393,042.80/1,811.62
  6. Step 6: Final answer
    x = 768.95

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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.