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Finding the Fourth Proportional to 18,158.50, 27,237 and 6,314.96

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Solution

The fourth proportional to 18,158.50, 27,237 and 6,314.96 is: 9,472.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,158.50 : 27,237 = 6,314.96 : x
  2. Step 2: Convert to fraction form
    18,158.50/27,237 = 6,314.96/x
  3. Step 3: Cross multiply
    18,158.50x = 27,237 × 6,314.96
  4. Step 4: Simplify right side
    18,158.50x = 172,000,429.34
  5. Step 5: Solve for x
    x = 172,000,429.34/18,158.50
  6. Step 6: Final answer
    x = 9,472.17

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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.