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Finding the Fourth Proportional to 2,759.88, 3,808.64 and 1,517.88

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Solution

The fourth proportional to 2,759.88, 3,808.64 and 1,517.88 is: 2,094.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.88 : 3,808.64 = 1,517.88 : x
  2. Step 2: Convert to fraction form
    2,759.88/3,808.64 = 1,517.88/x
  3. Step 3: Cross multiply
    2,759.88x = 3,808.64 × 1,517.88
  4. Step 4: Simplify right side
    2,759.88x = 5,781,058.48
  5. Step 5: Solve for x
    x = 5,781,058.48/2,759.88
  6. Step 6: Final answer
    x = 2,094.68

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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.