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Finding the Fourth Proportional to 12,071.96, 16,659.64 and 6,766.64

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Solution

The fourth proportional to 12,071.96, 16,659.64 and 6,766.64 is: 9,338.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.96 : 16,659.64 = 6,766.64 : x
  2. Step 2: Convert to fraction form
    12,071.96/16,659.64 = 6,766.64/x
  3. Step 3: Cross multiply
    12,071.96x = 16,659.64 × 6,766.64
  4. Step 4: Simplify right side
    12,071.96x = 112,729,786.41
  5. Step 5: Solve for x
    x = 112,729,786.41/12,071.96
  6. Step 6: Final answer
    x = 9,338.15

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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.