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Finding the Fourth Proportional to 16,000.21, 22,080.31 and 8,926.64

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Solution

The fourth proportional to 16,000.21, 22,080.31 and 8,926.64 is: 12,318.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,000.21 : 22,080.31 = 8,926.64 : x
  2. Step 2: Convert to fraction form
    16,000.21/22,080.31 = 8,926.64/x
  3. Step 3: Cross multiply
    16,000.21x = 22,080.31 × 8,926.64
  4. Step 4: Simplify right side
    16,000.21x = 197,102,823.42
  5. Step 5: Solve for x
    x = 197,102,823.42/16,000.21
  6. Step 6: Final answer
    x = 12,318.76

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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.