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Finding the Fourth Proportional to 11,754.70, 16,221.83 and 6,719.74

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Solution

The fourth proportional to 11,754.70, 16,221.83 and 6,719.74 is: 9,273.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.70 : 16,221.83 = 6,719.74 : x
  2. Step 2: Convert to fraction form
    11,754.70/16,221.83 = 6,719.74/x
  3. Step 3: Cross multiply
    11,754.70x = 16,221.83 × 6,719.74
  4. Step 4: Simplify right side
    11,754.70x = 109,006,446.33
  5. Step 5: Solve for x
    x = 109,006,446.33/11,754.70
  6. Step 6: Final answer
    x = 9,273.43

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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.