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Finding the Fourth Proportional to 13,619.92, 20,419.48 and 6,219.24

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Solution

The fourth proportional to 13,619.92, 20,419.48 and 6,219.24 is: 9,324.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,619.92 : 20,419.48 = 6,219.24 : x
  2. Step 2: Convert to fraction form
    13,619.92/20,419.48 = 6,219.24/x
  3. Step 3: Cross multiply
    13,619.92x = 20,419.48 × 6,219.24
  4. Step 4: Simplify right side
    13,619.92x = 126,993,646.80
  5. Step 5: Solve for x
    x = 126,993,646.80/13,619.92
  6. Step 6: Final answer
    x = 9,324.11

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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.