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Finding the Fourth Proportional to 18,617.84, 27,927.67 and 6,137.81

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Solution

The fourth proportional to 18,617.84, 27,927.67 and 6,137.81 is: 9,207.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,617.84 : 27,927.67 = 6,137.81 : x
  2. Step 2: Convert to fraction form
    18,617.84/27,927.67 = 6,137.81/x
  3. Step 3: Cross multiply
    18,617.84x = 27,927.67 × 6,137.81
  4. Step 4: Simplify right side
    18,617.84x = 171,414,732.20
  5. Step 5: Solve for x
    x = 171,414,732.20/18,617.84
  6. Step 6: Final answer
    x = 9,207.02

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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.