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Finding the Fourth Proportional to 12,090.92, 16,687.10 and 6,786.03

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Solution

The fourth proportional to 12,090.92, 16,687.10 and 6,786.03 is: 9,365.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,090.92 : 16,687.10 = 6,786.03 : x
  2. Step 2: Convert to fraction form
    12,090.92/16,687.10 = 6,786.03/x
  3. Step 3: Cross multiply
    12,090.92x = 16,687.10 × 6,786.03
  4. Step 4: Simplify right side
    12,090.92x = 113,239,178.18
  5. Step 5: Solve for x
    x = 113,239,178.18/12,090.92
  6. Step 6: Final answer
    x = 9,365.64

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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.