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Finding the Fourth Proportional to 12,641.64, 18,968.86 and 8,529

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Solution

The fourth proportional to 12,641.64, 18,968.86 and 8,529 is: 12,797.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,641.64 : 18,968.86 = 8,529 : x
  2. Step 2: Convert to fraction form
    12,641.64/18,968.86 = 8,529/x
  3. Step 3: Cross multiply
    12,641.64x = 18,968.86 × 8,529
  4. Step 4: Simplify right side
    12,641.64x = 161,785,406.94
  5. Step 5: Solve for x
    x = 161,785,406.94/12,641.64
  6. Step 6: Final answer
    x = 12,797.82

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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.