Home / 3,830.40-5,740.77-1,636.56

Finding the Fourth Proportional to 3,830.40, 5,740.77 and 1,636.56

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Solution

The fourth proportional to 3,830.40, 5,740.77 and 1,636.56 is: 2,452.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,830.40 : 5,740.77 = 1,636.56 : x
  2. Step 2: Convert to fraction form
    3,830.40/5,740.77 = 1,636.56/x
  3. Step 3: Cross multiply
    3,830.40x = 5,740.77 × 1,636.56
  4. Step 4: Simplify right side
    3,830.40x = 9,395,114.55
  5. Step 5: Solve for x
    x = 9,395,114.55/3,830.40
  6. Step 6: Final answer
    x = 2,452.78

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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.