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Finding the Fourth Proportional to 21,805.92, 30,091.88 and 12,853.80

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Solution

The fourth proportional to 21,805.92, 30,091.88 and 12,853.80 is: 17,738.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,805.92 : 30,091.88 = 12,853.80 : x
  2. Step 2: Convert to fraction form
    21,805.92/30,091.88 = 12,853.80/x
  3. Step 3: Cross multiply
    21,805.92x = 30,091.88 × 12,853.80
  4. Step 4: Simplify right side
    21,805.92x = 386,795,007.14
  5. Step 5: Solve for x
    x = 386,795,007.14/21,805.92
  6. Step 6: Final answer
    x = 17,738.07

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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.