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Finding the Fourth Proportional to 2,759.50, 3,808.11 and 1,517.50

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Solution

The fourth proportional to 2,759.50, 3,808.11 and 1,517.50 is: 2,094.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,759.50 : 3,808.11 = 1,517.50 : x
  2. Step 2: Convert to fraction form
    2,759.50/3,808.11 = 1,517.50/x
  3. Step 3: Cross multiply
    2,759.50x = 3,808.11 × 1,517.50
  4. Step 4: Simplify right side
    2,759.50x = 5,778,806.93
  5. Step 5: Solve for x
    x = 5,778,806.93/2,759.50
  6. Step 6: Final answer
    x = 2,094.15

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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.