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Finding the Fourth Proportional to 22,398.81, 30,908.46 and 13,198.90

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Solution

The fourth proportional to 22,398.81, 30,908.46 and 13,198.90 is: 18,213.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,398.81 : 30,908.46 = 13,198.90 : x
  2. Step 2: Convert to fraction form
    22,398.81/30,908.46 = 13,198.90/x
  3. Step 3: Cross multiply
    22,398.81x = 30,908.46 × 13,198.90
  4. Step 4: Simplify right side
    22,398.81x = 407,957,672.69
  5. Step 5: Solve for x
    x = 407,957,672.69/22,398.81
  6. Step 6: Final answer
    x = 18,213.36

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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.