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Finding the Fourth Proportional to 12,261, 16,920.24 and 6,672

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Solution

The fourth proportional to 12,261, 16,920.24 and 6,672 is: 9,207.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261 : 16,920.24 = 6,672 : x
  2. Step 2: Convert to fraction form
    12,261/16,920.24 = 6,672/x
  3. Step 3: Cross multiply
    12,261x = 16,920.24 × 6,672
  4. Step 4: Simplify right side
    12,261x = 112,891,841.28
  5. Step 5: Solve for x
    x = 112,891,841.28/12,261
  6. Step 6: Final answer
    x = 9,207.39

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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.