Home / 3,827.66-5,742.09-1,636.40

Finding the Fourth Proportional to 3,827.66, 5,742.09 and 1,636.40

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Solution

The fourth proportional to 3,827.66, 5,742.09 and 1,636.40 is: 2,454.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.66 : 5,742.09 = 1,636.40 : x
  2. Step 2: Convert to fraction form
    3,827.66/5,742.09 = 1,636.40/x
  3. Step 3: Cross multiply
    3,827.66x = 5,742.09 × 1,636.40
  4. Step 4: Simplify right side
    3,827.66x = 9,396,370.43
  5. Step 5: Solve for x
    x = 9,396,370.43/3,827.66
  6. Step 6: Final answer
    x = 2,454.86

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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.