Home / 3,827.12-5,742.36-1,638.80

Finding the Fourth Proportional to 3,827.12, 5,742.36 and 1,638.80

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Solution

The fourth proportional to 3,827.12, 5,742.36 and 1,638.80 is: 2,458.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.12 : 5,742.36 = 1,638.80 : x
  2. Step 2: Convert to fraction form
    3,827.12/5,742.36 = 1,638.80/x
  3. Step 3: Cross multiply
    3,827.12x = 5,742.36 × 1,638.80
  4. Step 4: Simplify right side
    3,827.12x = 9,410,579.57
  5. Step 5: Solve for x
    x = 9,410,579.57/3,827.12
  6. Step 6: Final answer
    x = 2,458.92

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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.