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Finding the Fourth Proportional to 18,131, 27,196.68 and 6,444.68

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Solution

The fourth proportional to 18,131, 27,196.68 and 6,444.68 is: 9,667.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,131 : 27,196.68 = 6,444.68 : x
  2. Step 2: Convert to fraction form
    18,131/27,196.68 = 6,444.68/x
  3. Step 3: Cross multiply
    18,131x = 27,196.68 × 6,444.68
  4. Step 4: Simplify right side
    18,131x = 175,273,899.66
  5. Step 5: Solve for x
    x = 175,273,899.66/18,131
  6. Step 6: Final answer
    x = 9,667.08

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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.