Home / 3,833.20-5,744.40-1,522

Finding the Fourth Proportional to 3,833.20, 5,744.40 and 1,522

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Solution

The fourth proportional to 3,833.20, 5,744.40 and 1,522 is: 2,280.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.20 : 5,744.40 = 1,522 : x
  2. Step 2: Convert to fraction form
    3,833.20/5,744.40 = 1,522/x
  3. Step 3: Cross multiply
    3,833.20x = 5,744.40 × 1,522
  4. Step 4: Simplify right side
    3,833.20x = 8,742,976.80
  5. Step 5: Solve for x
    x = 8,742,976.80/3,833.20
  6. Step 6: Final answer
    x = 2,280.86

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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.