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Finding the Fourth Proportional to 8,273.08, 12,406.74 and 3,655

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Solution

The fourth proportional to 8,273.08, 12,406.74 and 3,655 is: 5,481.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,273.08 : 12,406.74 = 3,655 : x
  2. Step 2: Convert to fraction form
    8,273.08/12,406.74 = 3,655/x
  3. Step 3: Cross multiply
    8,273.08x = 12,406.74 × 3,655
  4. Step 4: Simplify right side
    8,273.08x = 45,346,634.70
  5. Step 5: Solve for x
    x = 45,346,634.70/8,273.08
  6. Step 6: Final answer
    x = 5,481.23

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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.