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Finding the Fourth Proportional to 8,201.45, 12,302.56 and 2,655.23

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Solution

The fourth proportional to 8,201.45, 12,302.56 and 2,655.23 is: 3,982.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.45 : 12,302.56 = 2,655.23 : x
  2. Step 2: Convert to fraction form
    8,201.45/12,302.56 = 2,655.23/x
  3. Step 3: Cross multiply
    8,201.45x = 12,302.56 × 2,655.23
  4. Step 4: Simplify right side
    8,201.45x = 32,666,113.11
  5. Step 5: Solve for x
    x = 32,666,113.11/8,201.45
  6. Step 6: Final answer
    x = 3,982.97

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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.