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Finding the Fourth Proportional to 8,218, 12,331.86 and 3,537.88

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Solution

The fourth proportional to 8,218, 12,331.86 and 3,537.88 is: 5,308.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,218 : 12,331.86 = 3,537.88 : x
  2. Step 2: Convert to fraction form
    8,218/12,331.86 = 3,537.88/x
  3. Step 3: Cross multiply
    8,218x = 12,331.86 × 3,537.88
  4. Step 4: Simplify right side
    8,218x = 43,628,640.86
  5. Step 5: Solve for x
    x = 43,628,640.86/8,218
  6. Step 6: Final answer
    x = 5,308.91

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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.