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Finding the Fourth Proportional to 3,651.08, 5,470.86 and 2,827.40

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Solution

The fourth proportional to 3,651.08, 5,470.86 and 2,827.40 is: 4,236.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.08 : 5,470.86 = 2,827.40 : x
  2. Step 2: Convert to fraction form
    3,651.08/5,470.86 = 2,827.40/x
  3. Step 3: Cross multiply
    3,651.08x = 5,470.86 × 2,827.40
  4. Step 4: Simplify right side
    3,651.08x = 15,468,309.56
  5. Step 5: Solve for x
    x = 15,468,309.56/3,651.08
  6. Step 6: Final answer
    x = 4,236.64

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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.