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Finding the Fourth Proportional to 2,716.28, 4,074.40 and 768.47

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Solution

The fourth proportional to 2,716.28, 4,074.40 and 768.47 is: 1,152.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,716.28 : 4,074.40 = 768.47 : x
  2. Step 2: Convert to fraction form
    2,716.28/4,074.40 = 768.47/x
  3. Step 3: Cross multiply
    2,716.28x = 4,074.40 × 768.47
  4. Step 4: Simplify right side
    2,716.28x = 3,131,054.17
  5. Step 5: Solve for x
    x = 3,131,054.17/2,716.28
  6. Step 6: Final answer
    x = 1,152.70

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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.