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Finding the Fourth Proportional to 1,517.31, 2,094.03 and 854.13

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Solution

The fourth proportional to 1,517.31, 2,094.03 and 854.13 is: 1,178.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.31 : 2,094.03 = 854.13 : x
  2. Step 2: Convert to fraction form
    1,517.31/2,094.03 = 854.13/x
  3. Step 3: Cross multiply
    1,517.31x = 2,094.03 × 854.13
  4. Step 4: Simplify right side
    1,517.31x = 1,788,573.84
  5. Step 5: Solve for x
    x = 1,788,573.84/1,517.31
  6. Step 6: Final answer
    x = 1,178.78

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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.