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Finding the Fourth Proportional to 2,724.88, 4,086.75 and 776.56

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Solution

The fourth proportional to 2,724.88, 4,086.75 and 776.56 is: 1,164.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,724.88 : 4,086.75 = 776.56 : x
  2. Step 2: Convert to fraction form
    2,724.88/4,086.75 = 776.56/x
  3. Step 3: Cross multiply
    2,724.88x = 4,086.75 × 776.56
  4. Step 4: Simplify right side
    2,724.88x = 3,173,606.58
  5. Step 5: Solve for x
    x = 3,173,606.58/2,724.88
  6. Step 6: Final answer
    x = 1,164.68

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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.