Home / 2,548.42-3,822-1,087.42

Finding the Fourth Proportional to 2,548.42, 3,822 and 1,087.42

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Solution

The fourth proportional to 2,548.42, 3,822 and 1,087.42 is: 1,630.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,548.42 : 3,822 = 1,087.42 : x
  2. Step 2: Convert to fraction form
    2,548.42/3,822 = 1,087.42/x
  3. Step 3: Cross multiply
    2,548.42x = 3,822 × 1,087.42
  4. Step 4: Simplify right side
    2,548.42x = 4,156,119.24
  5. Step 5: Solve for x
    x = 4,156,119.24/2,548.42
  6. Step 6: Final answer
    x = 1,630.86

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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.