Home / 3,828.24-5,734.80-3,002.40

Finding the Fourth Proportional to 3,828.24, 5,734.80 and 3,002.40

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Solution

The fourth proportional to 3,828.24, 5,734.80 and 3,002.40 is: 4,497.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.24 : 5,734.80 = 3,002.40 : x
  2. Step 2: Convert to fraction form
    3,828.24/5,734.80 = 3,002.40/x
  3. Step 3: Cross multiply
    3,828.24x = 5,734.80 × 3,002.40
  4. Step 4: Simplify right side
    3,828.24x = 17,218,163.52
  5. Step 5: Solve for x
    x = 17,218,163.52/3,828.24
  6. Step 6: Final answer
    x = 4,497.67

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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.