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Finding the Fourth Proportional to 8,443.67, 12,664.49 and 3,512.66

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Solution

The fourth proportional to 8,443.67, 12,664.49 and 3,512.66 is: 5,268.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.67 : 12,664.49 = 3,512.66 : x
  2. Step 2: Convert to fraction form
    8,443.67/12,664.49 = 3,512.66/x
  3. Step 3: Cross multiply
    8,443.67x = 12,664.49 × 3,512.66
  4. Step 4: Simplify right side
    8,443.67x = 44,485,966.56
  5. Step 5: Solve for x
    x = 44,485,966.56/8,443.67
  6. Step 6: Final answer
    x = 5,268.56

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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.