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Finding the Fourth Proportional to 3,829.70, 5,744.55 and 3,805.40

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Solution

The fourth proportional to 3,829.70, 5,744.55 and 3,805.40 is: 5,708.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.70 : 5,744.55 = 3,805.40 : x
  2. Step 2: Convert to fraction form
    3,829.70/5,744.55 = 3,805.40/x
  3. Step 3: Cross multiply
    3,829.70x = 5,744.55 × 3,805.40
  4. Step 4: Simplify right side
    3,829.70x = 21,860,310.57
  5. Step 5: Solve for x
    x = 21,860,310.57/3,829.70
  6. Step 6: Final answer
    x = 5,708.10

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1.5x scale

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.