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Finding the Fourth Proportional to 16,400.40, 24,604.20 and 5,305.20

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Solution

The fourth proportional to 16,400.40, 24,604.20 and 5,305.20 is: 7,958.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.40 : 24,604.20 = 5,305.20 : x
  2. Step 2: Convert to fraction form
    16,400.40/24,604.20 = 5,305.20/x
  3. Step 3: Cross multiply
    16,400.40x = 24,604.20 × 5,305.20
  4. Step 4: Simplify right side
    16,400.40x = 130,530,201.84
  5. Step 5: Solve for x
    x = 130,530,201.84/16,400.40
  6. Step 6: Final answer
    x = 7,958.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.