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Finding the Fourth Proportional to 22,241.92, 30,692.08 and 12,811.20

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Solution

The fourth proportional to 22,241.92, 30,692.08 and 12,811.20 is: 17,678.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,241.92 : 30,692.08 = 12,811.20 : x
  2. Step 2: Convert to fraction form
    22,241.92/30,692.08 = 12,811.20/x
  3. Step 3: Cross multiply
    22,241.92x = 30,692.08 × 12,811.20
  4. Step 4: Simplify right side
    22,241.92x = 393,202,375.30
  5. Step 5: Solve for x
    x = 393,202,375.30/22,241.92
  6. Step 6: Final answer
    x = 17,678.44

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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.