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Finding the Fourth Proportional to 12,234.72, 16,884 and 6,645.72

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Solution

The fourth proportional to 12,234.72, 16,884 and 6,645.72 is: 9,171.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,234.72 : 16,884 = 6,645.72 : x
  2. Step 2: Convert to fraction form
    12,234.72/16,884 = 6,645.72/x
  3. Step 3: Cross multiply
    12,234.72x = 16,884 × 6,645.72
  4. Step 4: Simplify right side
    12,234.72x = 112,206,336.48
  5. Step 5: Solve for x
    x = 112,206,336.48/12,234.72
  6. Step 6: Final answer
    x = 9,171.14

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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.