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Finding the Fourth Proportional to 2,734.44, 4,100.98 and 786.64

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Solution

The fourth proportional to 2,734.44, 4,100.98 and 786.64 is: 1,179.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,734.44 : 4,100.98 = 786.64 : x
  2. Step 2: Convert to fraction form
    2,734.44/4,100.98 = 786.64/x
  3. Step 3: Cross multiply
    2,734.44x = 4,100.98 × 786.64
  4. Step 4: Simplify right side
    2,734.44x = 3,225,994.91
  5. Step 5: Solve for x
    x = 3,225,994.91/2,734.44
  6. Step 6: Final answer
    x = 1,179.76

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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.