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Finding the Fourth Proportional to 2,742.05, 4,113.71 and 794.19

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Solution

The fourth proportional to 2,742.05, 4,113.71 and 794.19 is: 1,191.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,742.05 : 4,113.71 = 794.19 : x
  2. Step 2: Convert to fraction form
    2,742.05/4,113.71 = 794.19/x
  3. Step 3: Cross multiply
    2,742.05x = 4,113.71 × 794.19
  4. Step 4: Simplify right side
    2,742.05x = 3,267,063.37
  5. Step 5: Solve for x
    x = 3,267,063.37/2,742.05
  6. Step 6: Final answer
    x = 1,191.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.