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Finding the Fourth Proportional to 8,179, 12,268.23 and 2,632.66

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Solution

The fourth proportional to 8,179, 12,268.23 and 2,632.66 is: 3,948.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,179 : 12,268.23 = 2,632.66 : x
  2. Step 2: Convert to fraction form
    8,179/12,268.23 = 2,632.66/x
  3. Step 3: Cross multiply
    8,179x = 12,268.23 × 2,632.66
  4. Step 4: Simplify right side
    8,179x = 32,298,078.39
  5. Step 5: Solve for x
    x = 32,298,078.39/8,179
  6. Step 6: Final answer
    x = 3,948.90

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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.