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Finding the Fourth Proportional to 19,882.16, 29,828.11 and 9,891.62

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Solution

The fourth proportional to 19,882.16, 29,828.11 and 9,891.62 is: 14,839.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,882.16 : 29,828.11 = 9,891.62 : x
  2. Step 2: Convert to fraction form
    19,882.16/29,828.11 = 9,891.62/x
  3. Step 3: Cross multiply
    19,882.16x = 29,828.11 × 9,891.62
  4. Step 4: Simplify right side
    19,882.16x = 295,048,180.30
  5. Step 5: Solve for x
    x = 295,048,180.30/19,882.16
  6. Step 6: Final answer
    x = 14,839.85

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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.