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Finding the Fourth Proportional to 3,651.81, 5,469.53 and 2,827.59

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Solution

The fourth proportional to 3,651.81, 5,469.53 and 2,827.59 is: 4,235.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.81 : 5,469.53 = 2,827.59 : x
  2. Step 2: Convert to fraction form
    3,651.81/5,469.53 = 2,827.59/x
  3. Step 3: Cross multiply
    3,651.81x = 5,469.53 × 2,827.59
  4. Step 4: Simplify right side
    3,651.81x = 15,465,574.19
  5. Step 5: Solve for x
    x = 15,465,574.19/3,651.81
  6. Step 6: Final answer
    x = 4,235.04

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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.