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Finding the Fourth Proportional to 22,288.20, 30,757.80 and 12,856.80

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Solution

The fourth proportional to 22,288.20, 30,757.80 and 12,856.80 is: 17,742.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,288.20 : 30,757.80 = 12,856.80 : x
  2. Step 2: Convert to fraction form
    22,288.20/30,757.80 = 12,856.80/x
  3. Step 3: Cross multiply
    22,288.20x = 30,757.80 × 12,856.80
  4. Step 4: Simplify right side
    22,288.20x = 395,446,883.04
  5. Step 5: Solve for x
    x = 395,446,883.04/22,288.20
  6. Step 6: Final answer
    x = 17,742.43

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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.