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Finding the Fourth Proportional to 8,201.55, 12,301.72 and 3,272.30

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Solution

The fourth proportional to 8,201.55, 12,301.72 and 3,272.30 is: 4,908.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.55 : 12,301.72 = 3,272.30 : x
  2. Step 2: Convert to fraction form
    8,201.55/12,301.72 = 3,272.30/x
  3. Step 3: Cross multiply
    8,201.55x = 12,301.72 × 3,272.30
  4. Step 4: Simplify right side
    8,201.55x = 40,254,913.20
  5. Step 5: Solve for x
    x = 40,254,913.20/8,201.55
  6. Step 6: Final answer
    x = 4,908.21

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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.