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Finding the Fourth Proportional to 16,309.20, 24,454.80 and 5,212.80

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Solution

The fourth proportional to 16,309.20, 24,454.80 and 5,212.80 is: 7,816.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.20 : 24,454.80 = 5,212.80 : x
  2. Step 2: Convert to fraction form
    16,309.20/24,454.80 = 5,212.80/x
  3. Step 3: Cross multiply
    16,309.20x = 24,454.80 × 5,212.80
  4. Step 4: Simplify right side
    16,309.20x = 127,477,981.44
  5. Step 5: Solve for x
    x = 127,477,981.44/16,309.20
  6. Step 6: Final answer
    x = 7,816.32

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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.