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Finding the Fourth Proportional to 19,955.41, 29,932.98 and 8,109.04

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Solution

The fourth proportional to 19,955.41, 29,932.98 and 8,109.04 is: 12,163.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,955.41 : 29,932.98 = 8,109.04 : x
  2. Step 2: Convert to fraction form
    19,955.41/29,932.98 = 8,109.04/x
  3. Step 3: Cross multiply
    19,955.41x = 29,932.98 × 8,109.04
  4. Step 4: Simplify right side
    19,955.41x = 242,727,732.14
  5. Step 5: Solve for x
    x = 242,727,732.14/19,955.41
  6. Step 6: Final answer
    x = 12,163.51

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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.