Home / 3,828.84-5,743.28-1,520.34

Finding the Fourth Proportional to 3,828.84, 5,743.28 and 1,520.34

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Solution

The fourth proportional to 3,828.84, 5,743.28 and 1,520.34 is: 2,280.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.84 : 5,743.28 = 1,520.34 : x
  2. Step 2: Convert to fraction form
    3,828.84/5,743.28 = 1,520.34/x
  3. Step 3: Cross multiply
    3,828.84x = 5,743.28 × 1,520.34
  4. Step 4: Simplify right side
    3,828.84x = 8,731,738.32
  5. Step 5: Solve for x
    x = 8,731,738.32/3,828.84
  6. Step 6: Final answer
    x = 2,280.52

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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.