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Finding the Fourth Proportional to 12,164, 16,786.44 and 6,858.56

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Solution

The fourth proportional to 12,164, 16,786.44 and 6,858.56 is: 9,464.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,164 : 16,786.44 = 6,858.56 : x
  2. Step 2: Convert to fraction form
    12,164/16,786.44 = 6,858.56/x
  3. Step 3: Cross multiply
    12,164x = 16,786.44 × 6,858.56
  4. Step 4: Simplify right side
    12,164x = 115,130,805.93
  5. Step 5: Solve for x
    x = 115,130,805.93/12,164
  6. Step 6: Final answer
    x = 9,464.88

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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.