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Finding the Fourth Proportional to 8,409, 12,608.70 and 2,563.56

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Solution

The fourth proportional to 8,409, 12,608.70 and 2,563.56 is: 3,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409 : 12,608.70 = 2,563.56 : x
  2. Step 2: Convert to fraction form
    8,409/12,608.70 = 2,563.56/x
  3. Step 3: Cross multiply
    8,409x = 12,608.70 × 2,563.56
  4. Step 4: Simplify right side
    8,409x = 32,323,158.97
  5. Step 5: Solve for x
    x = 32,323,158.97/8,409
  6. Step 6: Final answer
    x = 3,843.88

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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.