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Finding the Fourth Proportional to 2,715.94, 4,074.57 and 768.09

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Solution

The fourth proportional to 2,715.94, 4,074.57 and 768.09 is: 1,152.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,715.94 : 4,074.57 = 768.09 : x
  2. Step 2: Convert to fraction form
    2,715.94/4,074.57 = 768.09/x
  3. Step 3: Cross multiply
    2,715.94x = 4,074.57 × 768.09
  4. Step 4: Simplify right side
    2,715.94x = 3,129,651.75
  5. Step 5: Solve for x
    x = 3,129,651.75/2,715.94
  6. Step 6: Final answer
    x = 1,152.33

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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.