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Finding the Fourth Proportional to 8,201.87, 12,304.58 and 2,655.77

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Solution

The fourth proportional to 8,201.87, 12,304.58 and 2,655.77 is: 3,984.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.87 : 12,304.58 = 2,655.77 : x
  2. Step 2: Convert to fraction form
    8,201.87/12,304.58 = 2,655.77/x
  3. Step 3: Cross multiply
    8,201.87x = 12,304.58 × 2,655.77
  4. Step 4: Simplify right side
    8,201.87x = 32,678,059.62
  5. Step 5: Solve for x
    x = 32,678,059.62/8,201.87
  6. Step 6: Final answer
    x = 3,984.22

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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.