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Finding the Fourth Proportional to 16,234.40, 22,405.56 and 9,520.40

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Solution

The fourth proportional to 16,234.40, 22,405.56 and 9,520.40 is: 13,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,234.40 : 22,405.56 = 9,520.40 : x
  2. Step 2: Convert to fraction form
    16,234.40/22,405.56 = 9,520.40/x
  3. Step 3: Cross multiply
    16,234.40x = 22,405.56 × 9,520.40
  4. Step 4: Simplify right side
    16,234.40x = 213,309,893.42
  5. Step 5: Solve for x
    x = 213,309,893.42/16,234.40
  6. Step 6: Final answer
    x = 13,139.38

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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.