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Finding the Fourth Proportional to 12,326, 18,489.96 and 4,118

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Solution

The fourth proportional to 12,326, 18,489.96 and 4,118 is: 6,177.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,326 : 18,489.96 = 4,118 : x
  2. Step 2: Convert to fraction form
    12,326/18,489.96 = 4,118/x
  3. Step 3: Cross multiply
    12,326x = 18,489.96 × 4,118
  4. Step 4: Simplify right side
    12,326x = 76,141,655.28
  5. Step 5: Solve for x
    x = 76,141,655.28/12,326
  6. Step 6: Final answer
    x = 6,177.32

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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.