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Finding the Fourth Proportional to 13,991.94, 20,982.30 and 6,195.30

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Solution

The fourth proportional to 13,991.94, 20,982.30 and 6,195.30 is: 9,290.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,991.94 : 20,982.30 = 6,195.30 : x
  2. Step 2: Convert to fraction form
    13,991.94/20,982.30 = 6,195.30/x
  3. Step 3: Cross multiply
    13,991.94x = 20,982.30 × 6,195.30
  4. Step 4: Simplify right side
    13,991.94x = 129,991,643.19
  5. Step 5: Solve for x
    x = 129,991,643.19/13,991.94
  6. Step 6: Final answer
    x = 9,290.47

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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.