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Finding the Fourth Proportional to 12,842.92, 17,713.72 and 8,122.64

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Solution

The fourth proportional to 12,842.92, 17,713.72 and 8,122.64 is: 11,203.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.92 : 17,713.72 = 8,122.64 : x
  2. Step 2: Convert to fraction form
    12,842.92/17,713.72 = 8,122.64/x
  3. Step 3: Cross multiply
    12,842.92x = 17,713.72 × 8,122.64
  4. Step 4: Simplify right side
    12,842.92x = 143,882,170.62
  5. Step 5: Solve for x
    x = 143,882,170.62/12,842.92
  6. Step 6: Final answer
    x = 11,203.23

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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.