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Finding the Fourth Proportional to 3,583.64, 5,375.36 and 1,392.80

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Solution

The fourth proportional to 3,583.64, 5,375.36 and 1,392.80 is: 2,089.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,583.64 : 5,375.36 = 1,392.80 : x
  2. Step 2: Convert to fraction form
    3,583.64/5,375.36 = 1,392.80/x
  3. Step 3: Cross multiply
    3,583.64x = 5,375.36 × 1,392.80
  4. Step 4: Simplify right side
    3,583.64x = 7,486,778.01
  5. Step 5: Solve for x
    x = 7,486,778.01/3,583.64
  6. Step 6: Final answer
    x = 2,089.15

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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.