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Finding the Fourth Proportional to 12,992.46, 17,928.34 and 7,328.09

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Solution

The fourth proportional to 12,992.46, 17,928.34 and 7,328.09 is: 10,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.46 : 17,928.34 = 7,328.09 : x
  2. Step 2: Convert to fraction form
    12,992.46/17,928.34 = 7,328.09/x
  3. Step 3: Cross multiply
    12,992.46x = 17,928.34 × 7,328.09
  4. Step 4: Simplify right side
    12,992.46x = 131,380,489.07
  5. Step 5: Solve for x
    x = 131,380,489.07/12,992.46
  6. Step 6: Final answer
    x = 10,112.06

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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.