Home / 3,827.20-5,741.70-1,978.60

Finding the Fourth Proportional to 3,827.20, 5,741.70 and 1,978.60

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Solution

The fourth proportional to 3,827.20, 5,741.70 and 1,978.60 is: 2,968.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.20 : 5,741.70 = 1,978.60 : x
  2. Step 2: Convert to fraction form
    3,827.20/5,741.70 = 1,978.60/x
  3. Step 3: Cross multiply
    3,827.20x = 5,741.70 × 1,978.60
  4. Step 4: Simplify right side
    3,827.20x = 11,360,527.62
  5. Step 5: Solve for x
    x = 11,360,527.62/3,827.20
  6. Step 6: Final answer
    x = 2,968.37

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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.