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Finding the Fourth Proportional to 8,119.00, 11,198.31 and 6,209.13

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Solution

The fourth proportional to 8,119.00, 11,198.31 and 6,209.13 is: 8,564.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,119.00 : 11,198.31 = 6,209.13 : x
  2. Step 2: Convert to fraction form
    8,119.00/11,198.31 = 6,209.13/x
  3. Step 3: Cross multiply
    8,119.00x = 11,198.31 × 6,209.13
  4. Step 4: Simplify right side
    8,119.00x = 69,531,781.28
  5. Step 5: Solve for x
    x = 69,531,781.28/8,119.00
  6. Step 6: Final answer
    x = 8,564.08

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.