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Finding the Fourth Proportional to 15,805.80, 21,811.84 and 8,731.76

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Solution

The fourth proportional to 15,805.80, 21,811.84 and 8,731.76 is: 12,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,805.80 : 21,811.84 = 8,731.76 : x
  2. Step 2: Convert to fraction form
    15,805.80/21,811.84 = 8,731.76/x
  3. Step 3: Cross multiply
    15,805.80x = 21,811.84 × 8,731.76
  4. Step 4: Simplify right side
    15,805.80x = 190,455,752.04
  5. Step 5: Solve for x
    x = 190,455,752.04/15,805.80
  6. Step 6: Final answer
    x = 12,049.74

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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.