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Finding the Fourth Proportional to 8,200.50, 12,301.29 and 3,583.50

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Solution

The fourth proportional to 8,200.50, 12,301.29 and 3,583.50 is: 5,375.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.50 : 12,301.29 = 3,583.50 : x
  2. Step 2: Convert to fraction form
    8,200.50/12,301.29 = 3,583.50/x
  3. Step 3: Cross multiply
    8,200.50x = 12,301.29 × 3,583.50
  4. Step 4: Simplify right side
    8,200.50x = 44,081,672.72
  5. Step 5: Solve for x
    x = 44,081,672.72/8,200.50
  6. Step 6: Final answer
    x = 5,375.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.