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Finding the Fourth Proportional to 12,086.25, 16,678.92 and 6,781.06

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Solution

The fourth proportional to 12,086.25, 16,678.92 and 6,781.06 is: 9,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,086.25 : 16,678.92 = 6,781.06 : x
  2. Step 2: Convert to fraction form
    12,086.25/16,678.92 = 6,781.06/x
  3. Step 3: Cross multiply
    12,086.25x = 16,678.92 × 6,781.06
  4. Step 4: Simplify right side
    12,086.25x = 113,100,757.26
  5. Step 5: Solve for x
    x = 113,100,757.26/12,086.25
  6. Step 6: Final answer
    x = 9,357.80

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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.