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Finding the Fourth Proportional to 16,229.70, 22,396.50 and 9,155.70

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Solution

The fourth proportional to 16,229.70, 22,396.50 and 9,155.70 is: 12,634.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,229.70 : 22,396.50 = 9,155.70 : x
  2. Step 2: Convert to fraction form
    16,229.70/22,396.50 = 9,155.70/x
  3. Step 3: Cross multiply
    16,229.70x = 22,396.50 × 9,155.70
  4. Step 4: Simplify right side
    16,229.70x = 205,055,635.05
  5. Step 5: Solve for x
    x = 205,055,635.05/16,229.70
  6. Step 6: Final answer
    x = 12,634.59

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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.