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Finding the Fourth Proportional to 22,367.76, 30,814.12 and 15,640.80

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Solution

The fourth proportional to 22,367.76, 30,814.12 and 15,640.80 is: 21,546.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,367.76 : 30,814.12 = 15,640.80 : x
  2. Step 2: Convert to fraction form
    22,367.76/30,814.12 = 15,640.80/x
  3. Step 3: Cross multiply
    22,367.76x = 30,814.12 × 15,640.80
  4. Step 4: Simplify right side
    22,367.76x = 481,957,488.10
  5. Step 5: Solve for x
    x = 481,957,488.10/22,367.76
  6. Step 6: Final answer
    x = 21,546.97

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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.