Home / 3,829.68-5,744.70-2,784.78

Finding the Fourth Proportional to 3,829.68, 5,744.70 and 2,784.78

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Solution

The fourth proportional to 3,829.68, 5,744.70 and 2,784.78 is: 4,177.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829.68 : 5,744.70 = 2,784.78 : x
  2. Step 2: Convert to fraction form
    3,829.68/5,744.70 = 2,784.78/x
  3. Step 3: Cross multiply
    3,829.68x = 5,744.70 × 2,784.78
  4. Step 4: Simplify right side
    3,829.68x = 15,997,725.67
  5. Step 5: Solve for x
    x = 15,997,725.67/3,829.68
  6. Step 6: Final answer
    x = 4,177.30

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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.