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Finding the Fourth Proportional to 22,245.44, 30,697.92 and 12,814.40

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Solution

The fourth proportional to 22,245.44, 30,697.92 and 12,814.40 is: 17,683.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,245.44 : 30,697.92 = 12,814.40 : x
  2. Step 2: Convert to fraction form
    22,245.44/30,697.92 = 12,814.40/x
  3. Step 3: Cross multiply
    22,245.44x = 30,697.92 × 12,814.40
  4. Step 4: Simplify right side
    22,245.44x = 393,375,426.05
  5. Step 5: Solve for x
    x = 393,375,426.05/22,245.44
  6. Step 6: Final answer
    x = 17,683.42

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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.