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Finding the Fourth Proportional to 16,200, 22,361.76 and 11,234.88

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Solution

The fourth proportional to 16,200, 22,361.76 and 11,234.88 is: 15,508.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200 : 22,361.76 = 11,234.88 : x
  2. Step 2: Convert to fraction form
    16,200/22,361.76 = 11,234.88/x
  3. Step 3: Cross multiply
    16,200x = 22,361.76 × 11,234.88
  4. Step 4: Simplify right side
    16,200x = 251,231,690.19
  5. Step 5: Solve for x
    x = 251,231,690.19/16,200
  6. Step 6: Final answer
    x = 15,508.13

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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.