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Finding the Fourth Proportional to 11,907, 16,425.99 and 8,372.16

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Solution

The fourth proportional to 11,907, 16,425.99 and 8,372.16 is: 11,549.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,907 : 16,425.99 = 8,372.16 : x
  2. Step 2: Convert to fraction form
    11,907/16,425.99 = 8,372.16/x
  3. Step 3: Cross multiply
    11,907x = 16,425.99 × 8,372.16
  4. Step 4: Simplify right side
    11,907x = 137,521,016.44
  5. Step 5: Solve for x
    x = 137,521,016.44/11,907
  6. Step 6: Final answer
    x = 11,549.59

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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.