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Finding the Fourth Proportional to 12,189.06, 16,815.80 and 8,203.25

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Solution

The fourth proportional to 12,189.06, 16,815.80 and 8,203.25 is: 11,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,189.06 : 16,815.80 = 8,203.25 : x
  2. Step 2: Convert to fraction form
    12,189.06/16,815.80 = 8,203.25/x
  3. Step 3: Cross multiply
    12,189.06x = 16,815.80 × 8,203.25
  4. Step 4: Simplify right side
    12,189.06x = 137,944,273.90
  5. Step 5: Solve for x
    x = 137,944,273.90/12,189.06
  6. Step 6: Final answer
    x = 11,317.06

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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.