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Finding the Fourth Proportional to 3,829.59, 5,741.69 and 1,487.64

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Solution

The fourth proportional to 3,829.59, 5,741.69 and 1,487.64 is: 2,230.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.59 : 5,741.69 = 1,487.64 : x
  2. Step 2: Convert to fraction form
    3,829.59/5,741.69 = 1,487.64/x
  3. Step 3: Cross multiply
    3,829.59x = 5,741.69 × 1,487.64
  4. Step 4: Simplify right side
    3,829.59x = 8,541,581.80
  5. Step 5: Solve for x
    x = 8,541,581.80/3,829.59
  6. Step 6: Final answer
    x = 2,230.42

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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.