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Finding the Fourth Proportional to 2,057.68, 2,839.54 and 1,173.44

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Solution

The fourth proportional to 2,057.68, 2,839.54 and 1,173.44 is: 1,619.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.68 : 2,839.54 = 1,173.44 : x
  2. Step 2: Convert to fraction form
    2,057.68/2,839.54 = 1,173.44/x
  3. Step 3: Cross multiply
    2,057.68x = 2,839.54 × 1,173.44
  4. Step 4: Simplify right side
    2,057.68x = 3,332,023.95
  5. Step 5: Solve for x
    x = 3,332,023.95/2,057.68
  6. Step 6: Final answer
    x = 1,619.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.