Home / 3,828-5,744.70-1,520.04

Finding the Fourth Proportional to 3,828, 5,744.70 and 1,520.04

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Solution

The fourth proportional to 3,828, 5,744.70 and 1,520.04 is: 2,281.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828 : 5,744.70 = 1,520.04 : x
  2. Step 2: Convert to fraction form
    3,828/5,744.70 = 1,520.04/x
  3. Step 3: Cross multiply
    3,828x = 5,744.70 × 1,520.04
  4. Step 4: Simplify right side
    3,828x = 8,732,173.79
  5. Step 5: Solve for x
    x = 8,732,173.79/3,828
  6. Step 6: Final answer
    x = 2,281.13

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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.