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Finding the Fourth Proportional to 8,576.64, 12,861.66 and 3,648.60

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Solution

The fourth proportional to 8,576.64, 12,861.66 and 3,648.60 is: 5,471.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.64 : 12,861.66 = 3,648.60 : x
  2. Step 2: Convert to fraction form
    8,576.64/12,861.66 = 3,648.60/x
  3. Step 3: Cross multiply
    8,576.64x = 12,861.66 × 3,648.60
  4. Step 4: Simplify right side
    8,576.64x = 46,927,052.68
  5. Step 5: Solve for x
    x = 46,927,052.68/8,576.64
  6. Step 6: Final answer
    x = 5,471.50

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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.