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Finding the Fourth Proportional to 16,379.48, 22,604.49 and 9,211.65

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Solution

The fourth proportional to 16,379.48, 22,604.49 and 9,211.65 is: 12,712.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,379.48 : 22,604.49 = 9,211.65 : x
  2. Step 2: Convert to fraction form
    16,379.48/22,604.49 = 9,211.65/x
  3. Step 3: Cross multiply
    16,379.48x = 22,604.49 × 9,211.65
  4. Step 4: Simplify right side
    16,379.48x = 208,224,650.31
  5. Step 5: Solve for x
    x = 208,224,650.31/16,379.48
  6. Step 6: Final answer
    x = 12,712.54

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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.