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Finding the Fourth Proportional to 15,805.50, 21,811.17 and 8,731.77

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Solution

The fourth proportional to 15,805.50, 21,811.17 and 8,731.77 is: 12,049.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.50 : 21,811.17 = 8,731.77 : x
  2. Step 2: Convert to fraction form
    15,805.50/21,811.17 = 8,731.77/x
  3. Step 3: Cross multiply
    15,805.50x = 21,811.17 × 8,731.77
  4. Step 4: Simplify right side
    15,805.50x = 190,450,119.87
  5. Step 5: Solve for x
    x = 190,450,119.87/15,805.50
  6. Step 6: Final answer
    x = 12,049.61

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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.