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Finding the Fourth Proportional to 13,379.10, 20,080.98 and 6,810

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Solution

The fourth proportional to 13,379.10, 20,080.98 and 6,810 is: 10,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,379.10 : 20,080.98 = 6,810 : x
  2. Step 2: Convert to fraction form
    13,379.10/20,080.98 = 6,810/x
  3. Step 3: Cross multiply
    13,379.10x = 20,080.98 × 6,810
  4. Step 4: Simplify right side
    13,379.10x = 136,751,473.80
  5. Step 5: Solve for x
    x = 136,751,473.80/13,379.10
  6. Step 6: Final answer
    x = 10,221.28

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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.