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Finding the Fourth Proportional to 3,828.64, 5,742.96 and 1,520

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Solution

The fourth proportional to 3,828.64, 5,742.96 and 1,520 is: 2,280

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,828.64 : 5,742.96 = 1,520 : x
  2. Step 2: Convert to fraction form
    3,828.64/5,742.96 = 1,520/x
  3. Step 3: Cross multiply
    3,828.64x = 5,742.96 × 1,520
  4. Step 4: Simplify right side
    3,828.64x = 8,729,299.20
  5. Step 5: Solve for x
    x = 8,729,299.20/3,828.64
  6. Step 6: Final answer
    x = 2,280

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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.