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Finding the Fourth Proportional to 15,892.25, 21,931.49 and 8,819.33

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Solution

The fourth proportional to 15,892.25, 21,931.49 and 8,819.33 is: 12,170.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.25 : 21,931.49 = 8,819.33 : x
  2. Step 2: Convert to fraction form
    15,892.25/21,931.49 = 8,819.33/x
  3. Step 3: Cross multiply
    15,892.25x = 21,931.49 × 8,819.33
  4. Step 4: Simplify right side
    15,892.25x = 193,420,960.09
  5. Step 5: Solve for x
    x = 193,420,960.09/15,892.25
  6. Step 6: Final answer
    x = 12,170.78

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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.