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Finding the Fourth Proportional to 16,789, 23,169.34 and 9,234.94

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Solution

The fourth proportional to 16,789, 23,169.34 and 9,234.94 is: 12,744.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,789 : 23,169.34 = 9,234.94 : x
  2. Step 2: Convert to fraction form
    16,789/23,169.34 = 9,234.94/x
  3. Step 3: Cross multiply
    16,789x = 23,169.34 × 9,234.94
  4. Step 4: Simplify right side
    16,789x = 213,967,464.74
  5. Step 5: Solve for x
    x = 213,967,464.74/16,789
  6. Step 6: Final answer
    x = 12,744.50

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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.