Home / 3,827.26-5,742.84-1,635.40

Finding the Fourth Proportional to 3,827.26, 5,742.84 and 1,635.40

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Solution

The fourth proportional to 3,827.26, 5,742.84 and 1,635.40 is: 2,453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.26 : 5,742.84 = 1,635.40 : x
  2. Step 2: Convert to fraction form
    3,827.26/5,742.84 = 1,635.40/x
  3. Step 3: Cross multiply
    3,827.26x = 5,742.84 × 1,635.40
  4. Step 4: Simplify right side
    3,827.26x = 9,391,840.54
  5. Step 5: Solve for x
    x = 9,391,840.54/3,827.26
  6. Step 6: Final answer
    x = 2,453.93

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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.