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Finding the Fourth Proportional to 12,071.78, 16,659.86 and 6,766.95

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Solution

The fourth proportional to 12,071.78, 16,659.86 and 6,766.95 is: 9,338.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,071.78 : 16,659.86 = 6,766.95 : x
  2. Step 2: Convert to fraction form
    12,071.78/16,659.86 = 6,766.95/x
  3. Step 3: Cross multiply
    12,071.78x = 16,659.86 × 6,766.95
  4. Step 4: Simplify right side
    12,071.78x = 112,736,405.79
  5. Step 5: Solve for x
    x = 112,736,405.79/12,071.78
  6. Step 6: Final answer
    x = 9,338.84

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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.