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Finding the Fourth Proportional to 18,635.94, 27,955.80 and 6,156

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Solution

The fourth proportional to 18,635.94, 27,955.80 and 6,156 is: 9,234.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,635.94 : 27,955.80 = 6,156 : x
  2. Step 2: Convert to fraction form
    18,635.94/27,955.80 = 6,156/x
  3. Step 3: Cross multiply
    18,635.94x = 27,955.80 × 6,156
  4. Step 4: Simplify right side
    18,635.94x = 172,095,904.80
  5. Step 5: Solve for x
    x = 172,095,904.80/18,635.94
  6. Step 6: Final answer
    x = 9,234.62

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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.