Home / 3,827.60-5,742.75-1,636.49

Finding the Fourth Proportional to 3,827.60, 5,742.75 and 1,636.49

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Solution

The fourth proportional to 3,827.60, 5,742.75 and 1,636.49 is: 2,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.60 : 5,742.75 = 1,636.49 : x
  2. Step 2: Convert to fraction form
    3,827.60/5,742.75 = 1,636.49/x
  3. Step 3: Cross multiply
    3,827.60x = 5,742.75 × 1,636.49
  4. Step 4: Simplify right side
    3,827.60x = 9,397,952.95
  5. Step 5: Solve for x
    x = 9,397,952.95/3,827.60
  6. Step 6: Final answer
    x = 2,455.32

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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.