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Finding the Fourth Proportional to 12,144.74, 16,759.78 and 6,839.64

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Solution

The fourth proportional to 12,144.74, 16,759.78 and 6,839.64 is: 9,438.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,144.74 : 16,759.78 = 6,839.64 : x
  2. Step 2: Convert to fraction form
    12,144.74/16,759.78 = 6,839.64/x
  3. Step 3: Cross multiply
    12,144.74x = 16,759.78 × 6,839.64
  4. Step 4: Simplify right side
    12,144.74x = 114,630,861.68
  5. Step 5: Solve for x
    x = 114,630,861.68/12,144.74
  6. Step 6: Final answer
    x = 9,438.73

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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.