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Finding the Fourth Proportional to 13,198.10, 19,800.10 and 4,432.78

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Solution

The fourth proportional to 13,198.10, 19,800.10 and 4,432.78 is: 6,650.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,198.10 : 19,800.10 = 4,432.78 : x
  2. Step 2: Convert to fraction form
    13,198.10/19,800.10 = 4,432.78/x
  3. Step 3: Cross multiply
    13,198.10x = 19,800.10 × 4,432.78
  4. Step 4: Simplify right side
    13,198.10x = 87,769,487.28
  5. Step 5: Solve for x
    x = 87,769,487.28/13,198.10
  6. Step 6: Final answer
    x = 6,650.16

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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.