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Finding the Fourth Proportional to 2,094.12, 3,142.74 and 779.07

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Solution

The fourth proportional to 2,094.12, 3,142.74 and 779.07 is: 1,169.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,094.12 : 3,142.74 = 779.07 : x
  2. Step 2: Convert to fraction form
    2,094.12/3,142.74 = 779.07/x
  3. Step 3: Cross multiply
    2,094.12x = 3,142.74 × 779.07
  4. Step 4: Simplify right side
    2,094.12x = 2,448,414.45
  5. Step 5: Solve for x
    x = 2,448,414.45/2,094.12
  6. Step 6: Final answer
    x = 1,169.19

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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.