Home / 2,583.28-3,872.20-1,022.88

Finding the Fourth Proportional to 2,583.28, 3,872.20 and 1,022.88

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Solution

The fourth proportional to 2,583.28, 3,872.20 and 1,022.88 is: 1,533.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,583.28 : 3,872.20 = 1,022.88 : x
  2. Step 2: Convert to fraction form
    2,583.28/3,872.20 = 1,022.88/x
  3. Step 3: Cross multiply
    2,583.28x = 3,872.20 × 1,022.88
  4. Step 4: Simplify right side
    2,583.28x = 3,960,795.94
  5. Step 5: Solve for x
    x = 3,960,795.94/2,583.28
  6. Step 6: Final answer
    x = 1,533.24

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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.