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Finding the Fourth Proportional to 15,211.84, 20,992.20 and 8,405.83

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Solution

The fourth proportional to 15,211.84, 20,992.20 and 8,405.83 is: 11,599.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,211.84 : 20,992.20 = 8,405.83 : x
  2. Step 2: Convert to fraction form
    15,211.84/20,992.20 = 8,405.83/x
  3. Step 3: Cross multiply
    15,211.84x = 20,992.20 × 8,405.83
  4. Step 4: Simplify right side
    15,211.84x = 176,456,864.53
  5. Step 5: Solve for x
    x = 176,456,864.53/15,211.84
  6. Step 6: Final answer
    x = 11,599.97

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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.