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Finding the Fourth Proportional to 3,827.66, 5,736 and 2,180.80

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Solution

The fourth proportional to 3,827.66, 5,736 and 2,180.80 is: 3,268.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.66 : 5,736 = 2,180.80 : x
  2. Step 2: Convert to fraction form
    3,827.66/5,736 = 2,180.80/x
  3. Step 3: Cross multiply
    3,827.66x = 5,736 × 2,180.80
  4. Step 4: Simplify right side
    3,827.66x = 12,509,054.46
  5. Step 5: Solve for x
    x = 12,509,054.46/3,827.66
  6. Step 6: Final answer
    x = 3,268.07

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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.