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Finding the Fourth Proportional to 2,763.15, 4,146.21 and 1,839.15

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Solution

The fourth proportional to 2,763.15, 4,146.21 and 1,839.15 is: 2,759.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,763.15 : 4,146.21 = 1,839.15 : x
  2. Step 2: Convert to fraction form
    2,763.15/4,146.21 = 1,839.15/x
  3. Step 3: Cross multiply
    2,763.15x = 4,146.21 × 1,839.15
  4. Step 4: Simplify right side
    2,763.15x = 7,625,502.12
  5. Step 5: Solve for x
    x = 7,625,502.12/2,763.15
  6. Step 6: Final answer
    x = 2,759.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.