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Finding the Fourth Proportional to 11,739.75, 16,200.86 and 6,771.75

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Solution

The fourth proportional to 11,739.75, 16,200.86 and 6,771.75 is: 9,345.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,739.75 : 16,200.86 = 6,771.75 : x
  2. Step 2: Convert to fraction form
    11,739.75/16,200.86 = 6,771.75/x
  3. Step 3: Cross multiply
    11,739.75x = 16,200.86 × 6,771.75
  4. Step 4: Simplify right side
    11,739.75x = 109,708,173.71
  5. Step 5: Solve for x
    x = 109,708,173.71/11,739.75
  6. Step 6: Final answer
    x = 9,345.02

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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.