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Finding the Fourth Proportional to 12,181.78, 16,809.69 and 9,669.97

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Solution

The fourth proportional to 12,181.78, 16,809.69 and 9,669.97 is: 13,343.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,181.78 : 16,809.69 = 9,669.97 : x
  2. Step 2: Convert to fraction form
    12,181.78/16,809.69 = 9,669.97/x
  3. Step 3: Cross multiply
    12,181.78x = 16,809.69 × 9,669.97
  4. Step 4: Simplify right side
    12,181.78x = 162,549,198.01
  5. Step 5: Solve for x
    x = 162,549,198.01/12,181.78
  6. Step 6: Final answer
    x = 13,343.63

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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.