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Finding the Fourth Proportional to 2,742.12, 4,112.94 and 794.04

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Solution

The fourth proportional to 2,742.12, 4,112.94 and 794.04 is: 1,190.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.12 : 4,112.94 = 794.04 : x
  2. Step 2: Convert to fraction form
    2,742.12/4,112.94 = 794.04/x
  3. Step 3: Cross multiply
    2,742.12x = 4,112.94 × 794.04
  4. Step 4: Simplify right side
    2,742.12x = 3,265,838.88
  5. Step 5: Solve for x
    x = 3,265,838.88/2,742.12
  6. Step 6: Final answer
    x = 1,190.99

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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.