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Finding the Fourth Proportional to 12,169.56, 16,778.64 and 9,929.16

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Solution

The fourth proportional to 12,169.56, 16,778.64 and 9,929.16 is: 13,689.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,169.56 : 16,778.64 = 9,929.16 : x
  2. Step 2: Convert to fraction form
    12,169.56/16,778.64 = 9,929.16/x
  3. Step 3: Cross multiply
    12,169.56x = 16,778.64 × 9,929.16
  4. Step 4: Simplify right side
    12,169.56x = 166,597,801.14
  5. Step 5: Solve for x
    x = 166,597,801.14/12,169.56
  6. Step 6: Final answer
    x = 13,689.71

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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.