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Finding the Fourth Proportional to 3,630.88, 5,448 and 2,807.92

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Solution

The fourth proportional to 3,630.88, 5,448 and 2,807.92 is: 4,213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,630.88 : 5,448 = 2,807.92 : x
  2. Step 2: Convert to fraction form
    3,630.88/5,448 = 2,807.92/x
  3. Step 3: Cross multiply
    3,630.88x = 5,448 × 2,807.92
  4. Step 4: Simplify right side
    3,630.88x = 15,297,548.16
  5. Step 5: Solve for x
    x = 15,297,548.16/3,630.88
  6. Step 6: Final answer
    x = 4,213.18

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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.