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Finding the Fourth Proportional to 3,517, 4,850 and 2,963.26

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Solution

The fourth proportional to 3,517, 4,850 and 2,963.26 is: 4,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,517 : 4,850 = 2,963.26 : x
  2. Step 2: Convert to fraction form
    3,517/4,850 = 2,963.26/x
  3. Step 3: Cross multiply
    3,517x = 4,850 × 2,963.26
  4. Step 4: Simplify right side
    3,517x = 14,371,811.00
  5. Step 5: Solve for x
    x = 14,371,811.00/3,517
  6. Step 6: Final answer
    x = 4,086.38

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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.