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Finding the Fourth Proportional to 19,800, 29,676.96 and 8,099.04

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Solution

The fourth proportional to 19,800, 29,676.96 and 8,099.04 is: 12,139.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,800 : 29,676.96 = 8,099.04 : x
  2. Step 2: Convert to fraction form
    19,800/29,676.96 = 8,099.04/x
  3. Step 3: Cross multiply
    19,800x = 29,676.96 × 8,099.04
  4. Step 4: Simplify right side
    19,800x = 240,354,886.12
  5. Step 5: Solve for x
    x = 240,354,886.12/19,800
  6. Step 6: Final answer
    x = 12,139.14

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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.