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Finding the Fourth Proportional to 2,094, 3,139.20 and 794.56

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Solution

The fourth proportional to 2,094, 3,139.20 and 794.56 is: 1,191.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094 : 3,139.20 = 794.56 : x
  2. Step 2: Convert to fraction form
    2,094/3,139.20 = 794.56/x
  3. Step 3: Cross multiply
    2,094x = 3,139.20 × 794.56
  4. Step 4: Simplify right side
    2,094x = 2,494,282.75
  5. Step 5: Solve for x
    x = 2,494,282.75/2,094
  6. Step 6: Final answer
    x = 1,191.16

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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.