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Finding the Fourth Proportional to 15,892.87, 21,932.24 and 8,819.29

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Solution

The fourth proportional to 15,892.87, 21,932.24 and 8,819.29 is: 12,170.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,892.87 : 21,932.24 = 8,819.29 : x
  2. Step 2: Convert to fraction form
    15,892.87/21,932.24 = 8,819.29/x
  3. Step 3: Cross multiply
    15,892.87x = 21,932.24 × 8,819.29
  4. Step 4: Simplify right side
    15,892.87x = 193,426,784.91
  5. Step 5: Solve for x
    x = 193,426,784.91/15,892.87
  6. Step 6: Final answer
    x = 12,170.66

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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.