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Finding the Fourth Proportional to 12,852.92, 17,736.90 and 8,141.06

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Solution

The fourth proportional to 12,852.92, 17,736.90 and 8,141.06 is: 11,234.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.92 : 17,736.90 = 8,141.06 : x
  2. Step 2: Convert to fraction form
    12,852.92/17,736.90 = 8,141.06/x
  3. Step 3: Cross multiply
    12,852.92x = 17,736.90 × 8,141.06
  4. Step 4: Simplify right side
    12,852.92x = 144,397,167.11
  5. Step 5: Solve for x
    x = 144,397,167.11/12,852.92
  6. Step 6: Final answer
    x = 11,234.58

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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.