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Finding the Fourth Proportional to 16,784, 23,161.98 and 9,230.80

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Solution

The fourth proportional to 16,784, 23,161.98 and 9,230.80 is: 12,738.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,784 : 23,161.98 = 9,230.80 : x
  2. Step 2: Convert to fraction form
    16,784/23,161.98 = 9,230.80/x
  3. Step 3: Cross multiply
    16,784x = 23,161.98 × 9,230.80
  4. Step 4: Simplify right side
    16,784x = 213,803,604.98
  5. Step 5: Solve for x
    x = 213,803,604.98/16,784
  6. Step 6: Final answer
    x = 12,738.54

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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.