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Finding the Fourth Proportional to 22,272.80, 30,735.84 and 12,336.80

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Solution

The fourth proportional to 22,272.80, 30,735.84 and 12,336.80 is: 17,024.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.80 : 30,735.84 = 12,336.80 : x
  2. Step 2: Convert to fraction form
    22,272.80/30,735.84 = 12,336.80/x
  3. Step 3: Cross multiply
    22,272.80x = 30,735.84 × 12,336.80
  4. Step 4: Simplify right side
    22,272.80x = 379,181,910.91
  5. Step 5: Solve for x
    x = 379,181,910.91/22,272.80
  6. Step 6: Final answer
    x = 17,024.44

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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.