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Finding the Fourth Proportional to 1,517.89, 2,094.75 and 854.78

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Solution

The fourth proportional to 1,517.89, 2,094.75 and 854.78 is: 1,179.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.89 : 2,094.75 = 854.78 : x
  2. Step 2: Convert to fraction form
    1,517.89/2,094.75 = 854.78/x
  3. Step 3: Cross multiply
    1,517.89x = 2,094.75 × 854.78
  4. Step 4: Simplify right side
    1,517.89x = 1,790,563.29
  5. Step 5: Solve for x
    x = 1,790,563.29/1,517.89
  6. Step 6: Final answer
    x = 1,179.64

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Why These Related Problems?

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