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Finding the Fourth Proportional to 7,583.44, 11,372.64 and 3,200.80

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Solution

The fourth proportional to 7,583.44, 11,372.64 and 3,200.80 is: 4,800.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.44 : 11,372.64 = 3,200.80 : x
  2. Step 2: Convert to fraction form
    7,583.44/11,372.64 = 3,200.80/x
  3. Step 3: Cross multiply
    7,583.44x = 11,372.64 × 3,200.80
  4. Step 4: Simplify right side
    7,583.44x = 36,401,546.11
  5. Step 5: Solve for x
    x = 36,401,546.11/7,583.44
  6. Step 6: Final answer
    x = 4,800.14

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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.